Continued Proportion
Continued Proportion
Continued Proportion:
Three quantities are said to be in continued proportion; if the ratio between the first and the second is equal to the ratio between the second and the third.
Suppose, if we have three qualities such that the ratio of first to second is equal to the ratio of second to third, we say that the three qualities are in continued proportion. The middle term is called the mean proportional between the first the third terms.
i.e. a, b and c are in continued proportion, if a : b = b : c
The second quantity is called the mean proportional between the first and the third
i.e. in a : b = b : c; b is the mean proportional between a and c.
The third quantity is called the third proportional to the first and the second
i.e. in a : b = b : c; c is the third proportional to a and b.
Illustration: Check whether the numbers 6, 12, 24 are in continued proportion or not.
Solution: Here the ratio of first quantity to the second = 6 : 12 = 1 : 2
And ratio of second quantity to the third = 12 : 24 = 1 : 2
We see that 6 : 12 = 12 : 24
Thus, 6, 12, 24 are in continued proportion.
The second quantity 12 is the mean proportional and third quantity 24 is the third proportional.
Illustration: Find the mean proportion between 4 and 9.
Solution: Let the mean proportion be x
Therefore, 4 : x = x : 9
⇒ x × x = 4 × 9
⇒ = 36
⇒ =
⇒ x = 6
The mean proportional of 6 and 24 is ? | |||
| Right Option : B | |||
| View Explanation | |||
What must be added to the members 6,10,14 and 22 , so that they are in proportion . | |||
| Right Option : B | |||
| View Explanation | |||
For every 12 mangoes that I buy , 3 turn out to be rotten . At this rate , how many rotten mangoes will I have if I buy 100 mangoes ? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
