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Finding the Third Proportional to 724,689 and 984,109

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Solution

The third proportional to 724,689 and 984,109 is: 1,336,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,689 : 984,109 = 984,109 : x
  2. Step 2: Convert to fraction form
    724,689/984,109 = 984,109/x
  3. Step 3: Cross multiply
    724,689x = 984,109 × 984,109
  4. Step 4: Simplify right side
    724,689x = 968,470,523,881
  5. Step 5: Solve for x
    x = 968,470,523,881/724,689
  6. Step 6: Final answer
    x = 1,336,394.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.