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Finding the Third Proportional to 411,187.50 and 616,781.25

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Solution

The third proportional to 411,187.50 and 616,781.25 is: 925,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,187.50 : 616,781.25 = 616,781.25 : x
  2. Step 2: Convert to fraction form
    411,187.50/616,781.25 = 616,781.25/x
  3. Step 3: Cross multiply
    411,187.50x = 616,781.25 × 616,781.25
  4. Step 4: Simplify right side
    411,187.50x = 380,419,110,351.56
  5. Step 5: Solve for x
    x = 380,419,110,351.56/411,187.50
  6. Step 6: Final answer
    x = 925,171.88

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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.