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Finding the Third Proportional to 275,327 and 387,727

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Solution

The third proportional to 275,327 and 387,727 is: 546,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,327 : 387,727 = 387,727 : x
  2. Step 2: Convert to fraction form
    275,327/387,727 = 387,727/x
  3. Step 3: Cross multiply
    275,327x = 387,727 × 387,727
  4. Step 4: Simplify right side
    275,327x = 150,332,226,529
  5. Step 5: Solve for x
    x = 150,332,226,529/275,327
  6. Step 6: Final answer
    x = 546,013.38

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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.