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Finding the Third Proportional to 87,864 and 136,170

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Solution

The third proportional to 87,864 and 136,170 is: 211,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,864 : 136,170 = 136,170 : x
  2. Step 2: Convert to fraction form
    87,864/136,170 = 136,170/x
  3. Step 3: Cross multiply
    87,864x = 136,170 × 136,170
  4. Step 4: Simplify right side
    87,864x = 18,542,268,900
  5. Step 5: Solve for x
    x = 18,542,268,900/87,864
  6. Step 6: Final answer
    x = 211,033.74

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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.