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Finding the Third Proportional to 87,204 and 135,001

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Solution

The third proportional to 87,204 and 135,001 is: 208,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,204 : 135,001 = 135,001 : x
  2. Step 2: Convert to fraction form
    87,204/135,001 = 135,001/x
  3. Step 3: Cross multiply
    87,204x = 135,001 × 135,001
  4. Step 4: Simplify right side
    87,204x = 18,225,270,001
  5. Step 5: Solve for x
    x = 18,225,270,001/87,204
  6. Step 6: Final answer
    x = 208,995.80

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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.