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Finding the Third Proportional to 20.06 and 41.39

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Solution

The third proportional to 20.06 and 41.39 is: 85.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.06 : 41.39 = 41.39 : x
  2. Step 2: Convert to fraction form
    20.06/41.39 = 41.39/x
  3. Step 3: Cross multiply
    20.06x = 41.39 × 41.39
  4. Step 4: Simplify right side
    20.06x = 1,713.18
  5. Step 5: Solve for x
    x = 1,713.18/20.06
  6. Step 6: Final answer
    x = 85.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.