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Finding the Third Proportional to 87,596 and 135,908

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Solution

The third proportional to 87,596 and 135,908 is: 210,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,596 : 135,908 = 135,908 : x
  2. Step 2: Convert to fraction form
    87,596/135,908 = 135,908/x
  3. Step 3: Cross multiply
    87,596x = 135,908 × 135,908
  4. Step 4: Simplify right side
    87,596x = 18,470,984,464
  5. Step 5: Solve for x
    x = 18,470,984,464/87,596
  6. Step 6: Final answer
    x = 210,865.62

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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.