Solving Proportions

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What is a proportion?

Back

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

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CCSS.7.RP.A.2A

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How do you solve a proportion?

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

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CCSS.7.RP.A.2C

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What is cross-multiplication in proportions?

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

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CCSS.6.RP.A.3A

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

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The result is ad = bc.

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CCSS.4.NF.A.1

CCSS.5.NF.B.5B

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What does it mean if two ratios are equivalent?

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It means that they represent the same relationship between quantities.

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CCSS.6.RP.A.3A

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How can proportions be used in real-life applications?

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Proportions can be used in various applications such as scaling recipes, converting measurements, and calculating distances.

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CCSS.7.RP.A.3

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What is the first step in solving a proportion problem?

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Identify the two ratios that are being compared.

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CCSS.6.RP.A.3A

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What is the significance of the variable in a proportion?

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The variable represents an unknown quantity that can be solved using the relationship established by the proportion.

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CCSS.7.RP.A.2C

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What is an example of a proportion?

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An example of a proportion is 1/2 = 3/6.

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CCSS.7.RP.A.2A

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

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You can check your solution by substituting the value back into the original proportion to see if both sides are equal.

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CCSS.7.RP.A.2A