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Finding the Third Proportional to 392,743 and 614,387

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Solution

The third proportional to 392,743 and 614,387 is: 961,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,743 : 614,387 = 614,387 : x
  2. Step 2: Convert to fraction form
    392,743/614,387 = 614,387/x
  3. Step 3: Cross multiply
    392,743x = 614,387 × 614,387
  4. Step 4: Simplify right side
    392,743x = 377,471,385,769
  5. Step 5: Solve for x
    x = 377,471,385,769/392,743
  6. Step 6: Final answer
    x = 961,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.