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Finding the Third Proportional to 11,431 and 17,691

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Solution

The third proportional to 11,431 and 17,691 is: 27,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431 : 17,691 = 17,691 : x
  2. Step 2: Convert to fraction form
    11,431/17,691 = 17,691/x
  3. Step 3: Cross multiply
    11,431x = 17,691 × 17,691
  4. Step 4: Simplify right side
    11,431x = 312,971,481
  5. Step 5: Solve for x
    x = 312,971,481/11,431
  6. Step 6: Final answer
    x = 27,379.19

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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.