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Finding the Third Proportional to 20,882 and 44,093

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Solution

The third proportional to 20,882 and 44,093 is: 93,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882 : 44,093 = 44,093 : x
  2. Step 2: Convert to fraction form
    20,882/44,093 = 44,093/x
  3. Step 3: Cross multiply
    20,882x = 44,093 × 44,093
  4. Step 4: Simplify right side
    20,882x = 1,944,192,649
  5. Step 5: Solve for x
    x = 1,944,192,649/20,882
  6. Step 6: Final answer
    x = 93,103.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.