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Finding the Third Proportional to 87,360 and 138,550

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Solution

The third proportional to 87,360 and 138,550 is: 219,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,360 : 138,550 = 138,550 : x
  2. Step 2: Convert to fraction form
    87,360/138,550 = 138,550/x
  3. Step 3: Cross multiply
    87,360x = 138,550 × 138,550
  4. Step 4: Simplify right side
    87,360x = 19,196,102,500
  5. Step 5: Solve for x
    x = 19,196,102,500/87,360
  6. Step 6: Final answer
    x = 219,735.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.