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Finding the Third Proportional to 87,920 and 136,240

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Solution

The third proportional to 87,920 and 136,240 is: 211,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,920 : 136,240 = 136,240 : x
  2. Step 2: Convert to fraction form
    87,920/136,240 = 136,240/x
  3. Step 3: Cross multiply
    87,920x = 136,240 × 136,240
  4. Step 4: Simplify right side
    87,920x = 18,561,337,600
  5. Step 5: Solve for x
    x = 18,561,337,600/87,920
  6. Step 6: Final answer
    x = 211,116.21

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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.