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Finding the Third Proportional to 87,540 and 139,358

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Solution

The third proportional to 87,540 and 139,358 is: 221,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,540 : 139,358 = 139,358 : x
  2. Step 2: Convert to fraction form
    87,540/139,358 = 139,358/x
  3. Step 3: Cross multiply
    87,540x = 139,358 × 139,358
  4. Step 4: Simplify right side
    87,540x = 19,420,652,164
  5. Step 5: Solve for x
    x = 19,420,652,164/87,540
  6. Step 6: Final answer
    x = 221,848.89

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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.