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Finding the Third Proportional to 422,157 and 861,540

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Solution

The third proportional to 422,157 and 861,540 is: 1,758,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,157 : 861,540 = 861,540 : x
  2. Step 2: Convert to fraction form
    422,157/861,540 = 861,540/x
  3. Step 3: Cross multiply
    422,157x = 861,540 × 861,540
  4. Step 4: Simplify right side
    422,157x = 742,251,171,600
  5. Step 5: Solve for x
    x = 742,251,171,600/422,157
  6. Step 6: Final answer
    x = 1,758,234.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.