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Finding the Third Proportional to 396,107 and 864,793

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Solution

The third proportional to 396,107 and 864,793 is: 1,888,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,107 : 864,793 = 864,793 : x
  2. Step 2: Convert to fraction form
    396,107/864,793 = 864,793/x
  3. Step 3: Cross multiply
    396,107x = 864,793 × 864,793
  4. Step 4: Simplify right side
    396,107x = 747,866,932,849
  5. Step 5: Solve for x
    x = 747,866,932,849/396,107
  6. Step 6: Final answer
    x = 1,888,042.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.