Proportion
Proportion
Proportion:
A proportion is really two ratios that are equivalent to each other. Here is an example:
There are several ways to tell if two ratios form a proportion.
1st method: Check to see if the same scale factor was used on top and bottom.
2nd method: Try and simplify one or both of the ratios.
In this example, we could reduce the second ratio. Check it out:
Once again, we can see that the two ratios are equivalent. Therefore, they must form a proportion.
3rd method: Cross products: Multiply the numbers that are diagonal to each other. If the products are equal, the two ratios form a proportion.
5 x 28 = 140
7 x 20 = 140
Check out what happens when you do not have a proportion:
2 x 45 = 90
3 x 28 = 84
Here, the cross products are not the same. This shows that the two ratios are not a proportion.
These steps are also useful in finding the missing number in a proportion.
Illustration: Here are some examples of finding the missing number in a proportion using all three methods.
1.) 
If | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following are in proportion? | |||
| Right Option : B | |||
| View Explanation | |||
Determine if the following are in proportion : 4, 6, 8, 12 | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
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Om Umang
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Shreya Shrivastava
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Hiya Gupta
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Shreya Shrivastava
8thOne 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
10thAbhyas 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...
Aman Kumar Shrivastava
10thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
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Anika Saxena
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