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Finding the Third Proportional to 20.45 and 41.17

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Solution

The third proportional to 20.45 and 41.17 is: 82.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.45 : 41.17 = 41.17 : x
  2. Step 2: Convert to fraction form
    20.45/41.17 = 41.17/x
  3. Step 3: Cross multiply
    20.45x = 41.17 × 41.17
  4. Step 4: Simplify right side
    20.45x = 1,695.16
  5. Step 5: Solve for x
    x = 1,695.16/20.45
  6. Step 6: Final answer
    x = 82.88

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.