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Finding the Third Proportional to 87,006 and 115,686

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Solution

The third proportional to 87,006 and 115,686 is: 153,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,006 : 115,686 = 115,686 : x
  2. Step 2: Convert to fraction form
    87,006/115,686 = 115,686/x
  3. Step 3: Cross multiply
    87,006x = 115,686 × 115,686
  4. Step 4: Simplify right side
    87,006x = 13,383,250,596
  5. Step 5: Solve for x
    x = 13,383,250,596/87,006
  6. Step 6: Final answer
    x = 153,819.86

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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.