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Finding the Third Proportional to 10,909 and 16,359

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Solution

The third proportional to 10,909 and 16,359 is: 24,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909 : 16,359 = 16,359 : x
  2. Step 2: Convert to fraction form
    10,909/16,359 = 16,359/x
  3. Step 3: Cross multiply
    10,909x = 16,359 × 16,359
  4. Step 4: Simplify right side
    10,909x = 267,616,881
  5. Step 5: Solve for x
    x = 267,616,881/10,909
  6. Step 6: Final answer
    x = 24,531.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.