Finding the Third Proportional to 542 and 662
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Solution
The third proportional to 542 and 662 is: 808.57
Step by Step Solution
- Step 1: Write the proportion equation
542 : 662 = 662 : x - Step 2: Convert to fraction form
542/662 = 662/x - Step 3: Cross multiply
542x = 662 × 662 - Step 4: Simplify right side
542x = 438,244 - Step 5: Solve for x
x = 438,244/542 - Step 6: Final answer
x = 808.57
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.