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Finding the Third Proportional to 486,404 and 731,163

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Solution

The third proportional to 486,404 and 731,163 is: 1,099,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,404 : 731,163 = 731,163 : x
  2. Step 2: Convert to fraction form
    486,404/731,163 = 731,163/x
  3. Step 3: Cross multiply
    486,404x = 731,163 × 731,163
  4. Step 4: Simplify right side
    486,404x = 534,599,332,569
  5. Step 5: Solve for x
    x = 534,599,332,569/486,404
  6. Step 6: Final answer
    x = 1,099,084.98

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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.