# Ratios and Proportions Online

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Ratio is the quantitative comparison between quantitates. 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.

Example 1: Find the y in the given ratio and proportion 3 : y = 12 : 9.

Solution: Here the given proportion is 3 : y = 12 : 9.

It can be expressed as a fraction in the form.

3 / y = 12 / 9

Now multiply both sides of the equation by y.

This gives 3 = 12 y / 9.

Now multiply both sides of the equation by 9.

This gives 12 y = 27.

Now divide both sides of the equation by 12.

So y = 27/12.

Hence the value of y for the given proportion = 9/4.

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

Solution: Here the given proportion is x : 5 = 1 : 2.

It can be expressed as a fraction in the form.

This gives, x / 5 = 1 / 2

Now multiply both sides of the equation by 5.

This gives 5 (x/ 5) = (1 / 2) (5).

x = 5/2.

Hence the value of x for the given proportion is 5/2.