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Finding the Third Proportional to 415,397.25 and 622,402.88

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Solution

The third proportional to 415,397.25 and 622,402.88 is: 932,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,397.25 : 622,402.88 = 622,402.88 : x
  2. Step 2: Convert to fraction form
    415,397.25/622,402.88 = 622,402.88/x
  3. Step 3: Cross multiply
    415,397.25x = 622,402.88 × 622,402.88
  4. Step 4: Simplify right side
    415,397.25x = 387,385,338,808.27
  5. Step 5: Solve for x
    x = 387,385,338,808.27/415,397.25
  6. Step 6: Final answer
    x = 932,565.97

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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.