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Finding the Third Proportional to 611,414 and 815,439

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Solution

The third proportional to 611,414 and 815,439 is: 1,087,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,414 : 815,439 = 815,439 : x
  2. Step 2: Convert to fraction form
    611,414/815,439 = 815,439/x
  3. Step 3: Cross multiply
    611,414x = 815,439 × 815,439
  4. Step 4: Simplify right side
    611,414x = 664,940,762,721
  5. Step 5: Solve for x
    x = 664,940,762,721/611,414
  6. Step 6: Final answer
    x = 1,087,545.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.