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 first three terms of a proportion are 3 , 5 and 21 respectively . Find its fourth term ? | |||
| Right Option : D | |||
| View Explanation | |||
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 | |||
Students / Parents Reviews [20]
Abhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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10thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
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Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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Archit Segal
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