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Finding the Third Proportional to 20.14 and 41.24

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Solution

The third proportional to 20.14 and 41.24 is: 84.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.14 : 41.24 = 41.24 : x
  2. Step 2: Convert to fraction form
    20.14/41.24 = 41.24/x
  3. Step 3: Cross multiply
    20.14x = 41.24 × 41.24
  4. Step 4: Simplify right side
    20.14x = 1,700.60
  5. Step 5: Solve for x
    x = 1,700.60/20.14
  6. Step 6: Final answer
    x = 84.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.