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Finding the Third Proportional to 87,230 and 138,349

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Solution

The third proportional to 87,230 and 138,349 is: 219,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,230 : 138,349 = 138,349 : x
  2. Step 2: Convert to fraction form
    87,230/138,349 = 138,349/x
  3. Step 3: Cross multiply
    87,230x = 138,349 × 138,349
  4. Step 4: Simplify right side
    87,230x = 19,140,445,801
  5. Step 5: Solve for x
    x = 19,140,445,801/87,230
  6. Step 6: Final answer
    x = 219,425.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.