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Finding the Third Proportional to 20,107 and 31,103

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Solution

The third proportional to 20,107 and 31,103 is: 48,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107 : 31,103 = 31,103 : x
  2. Step 2: Convert to fraction form
    20,107/31,103 = 31,103/x
  3. Step 3: Cross multiply
    20,107x = 31,103 × 31,103
  4. Step 4: Simplify right side
    20,107x = 967,396,609
  5. Step 5: Solve for x
    x = 967,396,609/20,107
  6. Step 6: Final answer
    x = 48,112.43

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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.