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Finding the Third Proportional to 87,963 and 136,262

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Solution

The third proportional to 87,963 and 136,262 is: 211,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,963 : 136,262 = 136,262 : x
  2. Step 2: Convert to fraction form
    87,963/136,262 = 136,262/x
  3. Step 3: Cross multiply
    87,963x = 136,262 × 136,262
  4. Step 4: Simplify right side
    87,963x = 18,567,332,644
  5. Step 5: Solve for x
    x = 18,567,332,644/87,963
  6. Step 6: Final answer
    x = 211,081.17

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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.