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Finding the Third Proportional to 87,840 and 135,864

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Solution

The third proportional to 87,840 and 135,864 is: 210,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,840 : 135,864 = 135,864 : x
  2. Step 2: Convert to fraction form
    87,840/135,864 = 135,864/x
  3. Step 3: Cross multiply
    87,840x = 135,864 × 135,864
  4. Step 4: Simplify right side
    87,840x = 18,459,026,496
  5. Step 5: Solve for x
    x = 18,459,026,496/87,840
  6. Step 6: Final answer
    x = 210,143.74

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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.