Proportion
An equation stating that two ratios are equal.
Proportion refers to the relationship between two or more quantities that are in a fixed ratio or a constant proportion to one another. In other words, proportion indicates that two or more ratios or fractions are equal.
For example, if we say that the ratio of boys to girls in a classroom is 2:3, we can also say that the proportion of boys to girls is 2/5, because there are 2 boys for every 5 students in the classroom.
Proportions are commonly used in mathematics and everyday life, particularly in fields such as finance, science, and engineering. They can be used to solve problems related to fractions, percentages, and ratios, as well as to make predictions and draw conclusions based on data or observations.
To solve a proportion, you can use cross-multiplication, which involves multiplying the numerator of one ratio by the denominator of the other and vice versa, and then comparing the products. If the products are equal, the ratios are proportional.
For example, if we want to find out if the following two ratios are proportional:
– 3/4 and 6/8
We can use cross-multiplication as follows:
3 x 8 = 4 x 6
24 = 24
Since the products are equal, we can conclude that the two ratios are proportional.
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