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Finding the Third Proportional to 87,712.31 and 136,701.84

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Solution

The third proportional to 87,712.31 and 136,701.84 is: 213,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,712.31 : 136,701.84 = 136,701.84 : x
  2. Step 2: Convert to fraction form
    87,712.31/136,701.84 = 136,701.84/x
  3. Step 3: Cross multiply
    87,712.31x = 136,701.84 × 136,701.84
  4. Step 4: Simplify right side
    87,712.31x = 18,687,394,084.65
  5. Step 5: Solve for x
    x = 18,687,394,084.65/87,712.31
  6. Step 6: Final answer
    x = 213,053.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.