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Finding the Third Proportional to 498,683 and 747,831

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Solution

The third proportional to 498,683 and 747,831 is: 1,121,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,683 : 747,831 = 747,831 : x
  2. Step 2: Convert to fraction form
    498,683/747,831 = 747,831/x
  3. Step 3: Cross multiply
    498,683x = 747,831 × 747,831
  4. Step 4: Simplify right side
    498,683x = 559,251,204,561
  5. Step 5: Solve for x
    x = 559,251,204,561/498,683
  6. Step 6: Final answer
    x = 1,121,456.33

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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.