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Finding the Third Proportional to 20.11 and 47.39

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Solution

The third proportional to 20.11 and 47.39 is: 111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.11 : 47.39 = 47.39 : x
  2. Step 2: Convert to fraction form
    20.11/47.39 = 47.39/x
  3. Step 3: Cross multiply
    20.11x = 47.39 × 47.39
  4. Step 4: Simplify right side
    20.11x = 2,245.87
  5. Step 5: Solve for x
    x = 2,245.87/20.11
  6. Step 6: Final answer
    x = 111.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.