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Finding the Third Proportional to 4,381 and 9,761

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Solution

The third proportional to 4,381 and 9,761 is: 21,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381 : 9,761 = 9,761 : x
  2. Step 2: Convert to fraction form
    4,381/9,761 = 9,761/x
  3. Step 3: Cross multiply
    4,381x = 9,761 × 9,761
  4. Step 4: Simplify right side
    4,381x = 95,277,121
  5. Step 5: Solve for x
    x = 95,277,121/4,381
  6. Step 6: Final answer
    x = 21,747.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.