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Finding the Third Proportional to 409,591 and 614,387

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Solution

The third proportional to 409,591 and 614,387 is: 921,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,591 : 614,387 = 614,387 : x
  2. Step 2: Convert to fraction form
    409,591/614,387 = 614,387/x
  3. Step 3: Cross multiply
    409,591x = 614,387 × 614,387
  4. Step 4: Simplify right side
    409,591x = 377,471,385,769
  5. Step 5: Solve for x
    x = 377,471,385,769/409,591
  6. Step 6: Final answer
    x = 921,581.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.