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Finding the Third Proportional to 87,884 and 136,195

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Solution

The third proportional to 87,884 and 136,195 is: 211,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,884 : 136,195 = 136,195 : x
  2. Step 2: Convert to fraction form
    87,884/136,195 = 136,195/x
  3. Step 3: Cross multiply
    87,884x = 136,195 × 136,195
  4. Step 4: Simplify right side
    87,884x = 18,549,078,025
  5. Step 5: Solve for x
    x = 18,549,078,025/87,884
  6. Step 6: Final answer
    x = 211,063.20

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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.