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Finding the Third Proportional to 87,009.50 and 115,691

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Solution

The third proportional to 87,009.50 and 115,691 is: 153,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,009.50 : 115,691 = 115,691 : x
  2. Step 2: Convert to fraction form
    87,009.50/115,691 = 115,691/x
  3. Step 3: Cross multiply
    87,009.50x = 115,691 × 115,691
  4. Step 4: Simplify right side
    87,009.50x = 13,384,407,481
  5. Step 5: Solve for x
    x = 13,384,407,481/87,009.50
  6. Step 6: Final answer
    x = 153,826.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.