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Finding the Third Proportional to 366,972 and 516,776

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Solution

The third proportional to 366,972 and 516,776 is: 727,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,972 : 516,776 = 516,776 : x
  2. Step 2: Convert to fraction form
    366,972/516,776 = 516,776/x
  3. Step 3: Cross multiply
    366,972x = 516,776 × 516,776
  4. Step 4: Simplify right side
    366,972x = 267,057,434,176
  5. Step 5: Solve for x
    x = 267,057,434,176/366,972
  6. Step 6: Final answer
    x = 727,732.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.