Finding the Third Proportional to 118 and 142
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Solution
The third proportional to 118 and 142 is: 170.88
Step by Step Solution
- Step 1: Write the proportion equation
118 : 142 = 142 : x - Step 2: Convert to fraction form
118/142 = 142/x - Step 3: Cross multiply
118x = 142 × 142 - Step 4: Simplify right side
118x = 20,164 - Step 5: Solve for x
x = 20,164/118 - Step 6: Final answer
x = 170.88
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.