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Finding the Third Proportional to 15,669 and 34,439

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Solution

The third proportional to 15,669 and 34,439 is: 75,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,669 : 34,439 = 34,439 : x
  2. Step 2: Convert to fraction form
    15,669/34,439 = 34,439/x
  3. Step 3: Cross multiply
    15,669x = 34,439 × 34,439
  4. Step 4: Simplify right side
    15,669x = 1,186,044,721
  5. Step 5: Solve for x
    x = 1,186,044,721/15,669
  6. Step 6: Final answer
    x = 75,693.71

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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.