Finding the Third Proportional to 542 and 628
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Solution
The third proportional to 542 and 628 is: 727.65
Step by Step Solution
- Step 1: Write the proportion equation
542 : 628 = 628 : x - Step 2: Convert to fraction form
542/628 = 628/x - Step 3: Cross multiply
542x = 628 × 628 - Step 4: Simplify right side
542x = 394,384 - Step 5: Solve for x
x = 394,384/542 - Step 6: Final answer
x = 727.65
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.