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Finding the Third Proportional to 10,440 and 15,919

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Solution

The third proportional to 10,440 and 15,919 is: 24,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440 : 15,919 = 15,919 : x
  2. Step 2: Convert to fraction form
    10,440/15,919 = 15,919/x
  3. Step 3: Cross multiply
    10,440x = 15,919 × 15,919
  4. Step 4: Simplify right side
    10,440x = 253,414,561
  5. Step 5: Solve for x
    x = 253,414,561/10,440
  6. Step 6: Final answer
    x = 24,273.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.