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Finding the Third Proportional to 87,892 and 136,207

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Solution

The third proportional to 87,892 and 136,207 is: 211,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,892 : 136,207 = 136,207 : x
  2. Step 2: Convert to fraction form
    87,892/136,207 = 136,207/x
  3. Step 3: Cross multiply
    87,892x = 136,207 × 136,207
  4. Step 4: Simplify right side
    87,892x = 18,552,346,849
  5. Step 5: Solve for x
    x = 18,552,346,849/87,892
  6. Step 6: Final answer
    x = 211,081.18

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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.