Finding the Third Proportional to 459 and 487
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Solution
The third proportional to 459 and 487 is: 516.71
Step by Step Solution
- Step 1: Write the proportion equation
459 : 487 = 487 : x - Step 2: Convert to fraction form
459/487 = 487/x - Step 3: Cross multiply
459x = 487 × 487 - Step 4: Simplify right side
459x = 237,169 - Step 5: Solve for x
x = 237,169/459 - Step 6: Final answer
x = 516.71
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.