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Finding the Third Proportional to 11,909 and 26,169

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Solution

The third proportional to 11,909 and 26,169 is: 57,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909 : 26,169 = 26,169 : x
  2. Step 2: Convert to fraction form
    11,909/26,169 = 26,169/x
  3. Step 3: Cross multiply
    11,909x = 26,169 × 26,169
  4. Step 4: Simplify right side
    11,909x = 684,816,561
  5. Step 5: Solve for x
    x = 684,816,561/11,909
  6. Step 6: Final answer
    x = 57,504.12

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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.