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Finding the Third Proportional to 15,831 and 34,839

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Solution

The third proportional to 15,831 and 34,839 is: 76,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831 : 34,839 = 34,839 : x
  2. Step 2: Convert to fraction form
    15,831/34,839 = 34,839/x
  3. Step 3: Cross multiply
    15,831x = 34,839 × 34,839
  4. Step 4: Simplify right side
    15,831x = 1,213,755,921
  5. Step 5: Solve for x
    x = 1,213,755,921/15,831
  6. Step 6: Final answer
    x = 76,669.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.