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Published byAnn Elisabeth Fowler Modified over 8 years ago

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What Are You Learning? I CAN solve proportions. 2

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Why Do You Need To Know This? Proportions can be used to compare different types of items. Proportions are useful because they allow objects to be compared equally. They can be used many ways in the real world. 3

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Vocabulary Proportion—an equation that shows that two ratios are equivalent. Cross Product—the product of the numerator of one ratio and the denominator of the other ratio. 4

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Notes 1 = 3 2 6 1 x 6 is a cross product. 2 x 3 is a cross product. The cross products of a proportion are equal. Two ratios form a proportion if their cross products are equal. 5

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Determine whether each pair of ratios form a proportion. a. ¾ and 9/12 b. 8/12 and 14/21 c. 4/5 and 5/6 d. 25/40 and 5/8 e. 13/15 and 4/5 f. 49/21 and 28/12 6

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Notes Solving the proportion— Process of using cross products to find a missing term in a proportion. Solving a proportion is similar to solving an equation. 7

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Example x = 4 9 6 x 6 = 9 4 (Cross multiply) 6x = 36 (Solve for the variable) 6x = 36 (Divide to undo multiplication 6 6 x = 6 8

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Solve each proportion. When necessary, round to the nearest tenth. a. 15/30 = n/34 b. h/36 = 21/27 c. 26/15 = 130/m d. 36/j = 7/20 e. r/23 = 17/34 f. 77/93 = x/24 9

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