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Finding the Third Proportional to 415,551 and 644,711

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Solution

The third proportional to 415,551 and 644,711 is: 1,000,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,551 : 644,711 = 644,711 : x
  2. Step 2: Convert to fraction form
    415,551/644,711 = 644,711/x
  3. Step 3: Cross multiply
    415,551x = 644,711 × 644,711
  4. Step 4: Simplify right side
    415,551x = 415,652,273,521
  5. Step 5: Solve for x
    x = 415,652,273,521/415,551
  6. Step 6: Final answer
    x = 1,000,243.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.