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Finding the Third Proportional to 3,891 and 9,372

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Solution

The third proportional to 3,891 and 9,372 is: 22,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891 : 9,372 = 9,372 : x
  2. Step 2: Convert to fraction form
    3,891/9,372 = 9,372/x
  3. Step 3: Cross multiply
    3,891x = 9,372 × 9,372
  4. Step 4: Simplify right side
    3,891x = 87,834,384
  5. Step 5: Solve for x
    x = 87,834,384/3,891
  6. Step 6: Final answer
    x = 22,573.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.