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Finding the Third Proportional to 87,588 and 135,900

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Solution

The third proportional to 87,588 and 135,900 is: 210,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,588 : 135,900 = 135,900 : x
  2. Step 2: Convert to fraction form
    87,588/135,900 = 135,900/x
  3. Step 3: Cross multiply
    87,588x = 135,900 × 135,900
  4. Step 4: Simplify right side
    87,588x = 18,468,810,000
  5. Step 5: Solve for x
    x = 18,468,810,000/87,588
  6. Step 6: Final answer
    x = 210,860.05

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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.