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Finding the Third Proportional to 87,874 and 207,239

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Solution

The third proportional to 87,874 and 207,239 is: 488,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,874 : 207,239 = 207,239 : x
  2. Step 2: Convert to fraction form
    87,874/207,239 = 207,239/x
  3. Step 3: Cross multiply
    87,874x = 207,239 × 207,239
  4. Step 4: Simplify right side
    87,874x = 42,948,003,121
  5. Step 5: Solve for x
    x = 42,948,003,121/87,874
  6. Step 6: Final answer
    x = 488,745.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.