# Proportion Formula

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Proportion is a fixed ratio between two substances. Proportion always maintains a fixed ratio between two fractions. For example, a / b = c / d. It can be written as a : b = c : d. This can also be called as the proportion formula. Proportion in math is defined as the similarity while comparison between two quantities or substances. Proportion is also used between two geometric objects where their dimensions can be compared.

Example 1: Find the x in the proportion 2 : y = 10 : 3.

Solution: Here the given proportion is 2 : y = 10 : 3.

It can be expressed as a fraction in the form.

2 / y = 10 / 3

Now multiply both sides of the equation by y.

This gives 2 = 10 y /3.

Now multiply both sides of the equation by 3.

This gives 10 y = 6.

Now divide both sides of the equation by 10.

So y = 6 / 10.

Hence the value of y for the given proportion = 3 / 5.

Example 2: Find the x in the proportion x : 5 = 1 : 15.

Solution: Here the given proportion is x : 5 = 1 :15.

It can be expressed as a fraction in the form.

This gives, x / 5 = 1 / 15

Now multiply both sides of the equation by 5.

This gives 5(x/ 5) = (1 / 15) (5).

x = 1 / 3.

Hence the value of x for the given proportion is= 1/3.