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Finding the Third Proportional to 10,909 and 16,923

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Solution

The third proportional to 10,909 and 16,923 is: 26,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909 : 16,923 = 16,923 : x
  2. Step 2: Convert to fraction form
    10,909/16,923 = 16,923/x
  3. Step 3: Cross multiply
    10,909x = 16,923 × 16,923
  4. Step 4: Simplify right side
    10,909x = 286,387,929
  5. Step 5: Solve for x
    x = 286,387,929/10,909
  6. Step 6: Final answer
    x = 26,252.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.