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 terms and then solve for the 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 a*d = b*c.

Front

What is the first step in solving x/4 = 6/8?

Back

The first step is to cross-multiply: x * 8 = 4 * 6.

Front

What is the value of x in the equation x/4 = 6/8?

Back

x = 3.

Front

If 2/3 = x/12, how do you find x?

Back

Cross-multiply: 2 * 12 = 3 * x, then solve for x.

Front

What is the solution to the proportion 5/10 = x/20?

Back

x = 10.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship or proportion.

Front

How can you check if your solution to a proportion is correct?

Back

You can substitute your solution back into the original proportion to see if both sides are equal.