Finding the Third Proportional to 542 and 597.50
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Solution
The third proportional to 542 and 597.50 is: 658.68
Step by Step Solution
- Step 1: Write the proportion equation
542 : 597.50 = 597.50 : x - Step 2: Convert to fraction form
542/597.50 = 597.50/x - Step 3: Cross multiply
542x = 597.50 × 597.50 - Step 4: Simplify right side
542x = 357,006.25 - Step 5: Solve for x
x = 357,006.25/542 - Step 6: Final answer
x = 658.68
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.