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Finding the Third Proportional to 17,976 and 27,591

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Solution

The third proportional to 17,976 and 27,591 is: 42,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 27,591 = 27,591 : x
  2. Step 2: Convert to fraction form
    17,976/27,591 = 27,591/x
  3. Step 3: Cross multiply
    17,976x = 27,591 × 27,591
  4. Step 4: Simplify right side
    17,976x = 761,263,281
  5. Step 5: Solve for x
    x = 761,263,281/17,976
  6. Step 6: Final answer
    x = 42,348.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.