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Finding the Third Proportional to 87,540 and 138,965

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Solution

The third proportional to 87,540 and 138,965 is: 220,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,540 : 138,965 = 138,965 : x
  2. Step 2: Convert to fraction form
    87,540/138,965 = 138,965/x
  3. Step 3: Cross multiply
    87,540x = 138,965 × 138,965
  4. Step 4: Simplify right side
    87,540x = 19,311,271,225
  5. Step 5: Solve for x
    x = 19,311,271,225/87,540
  6. Step 6: Final answer
    x = 220,599.40

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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.