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Finding the Third Proportional to 87,775 and 192,217

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Solution

The third proportional to 87,775 and 192,217 is: 420,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,775 : 192,217 = 192,217 : x
  2. Step 2: Convert to fraction form
    87,775/192,217 = 192,217/x
  3. Step 3: Cross multiply
    87,775x = 192,217 × 192,217
  4. Step 4: Simplify right side
    87,775x = 36,947,375,089
  5. Step 5: Solve for x
    x = 36,947,375,089/87,775
  6. Step 6: Final answer
    x = 420,932.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.