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Finding the Third Proportional to 40,422 and 87,839

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Solution

The third proportional to 40,422 and 87,839 is: 190,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422 : 87,839 = 87,839 : x
  2. Step 2: Convert to fraction form
    40,422/87,839 = 87,839/x
  3. Step 3: Cross multiply
    40,422x = 87,839 × 87,839
  4. Step 4: Simplify right side
    40,422x = 7,715,689,921
  5. Step 5: Solve for x
    x = 7,715,689,921/40,422
  6. Step 6: Final answer
    x = 190,878.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.