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Finding the Third Proportional to 87,909 and 136,207.13

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Solution

The third proportional to 87,909 and 136,207.13 is: 211,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,909 : 136,207.13 = 136,207.13 : x
  2. Step 2: Convert to fraction form
    87,909/136,207.13 = 136,207.13/x
  3. Step 3: Cross multiply
    87,909x = 136,207.13 × 136,207.13
  4. Step 4: Simplify right side
    87,909x = 18,552,380,900.77
  5. Step 5: Solve for x
    x = 18,552,380,900.77/87,909
  6. Step 6: Final answer
    x = 211,040.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.