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Finding the Third Proportional to 87,578 and 138,698

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Solution

The third proportional to 87,578 and 138,698 is: 219,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,578 : 138,698 = 138,698 : x
  2. Step 2: Convert to fraction form
    87,578/138,698 = 138,698/x
  3. Step 3: Cross multiply
    87,578x = 138,698 × 138,698
  4. Step 4: Simplify right side
    87,578x = 19,237,135,204
  5. Step 5: Solve for x
    x = 19,237,135,204/87,578
  6. Step 6: Final answer
    x = 219,657.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.