Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Front

What is the first step in solving the proportion 11/10 = 22/X?

Back

The first step is to cross-multiply: 11 * X = 10 * 22.

Front

What is the value of k in the proportion k/5 = 9/15?

Back

k = 3.

Front

How can you check if two ratios are proportional?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the solution to the proportion 8/1 = x/8?

Back

x = 64.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion, the product of the means equals the product of the extremes.

Front

What is an example of a real-world application of proportions?

Back

Proportions can be used to determine scale in maps or models.