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Finding the Third Proportional to 20.81 and 41.34

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Solution

The third proportional to 20.81 and 41.34 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.81 : 41.34 = 41.34 : x
  2. Step 2: Convert to fraction form
    20.81/41.34 = 41.34/x
  3. Step 3: Cross multiply
    20.81x = 41.34 × 41.34
  4. Step 4: Simplify right side
    20.81x = 1,709.31
  5. Step 5: Solve for x
    x = 1,709.31/20.81
  6. Step 6: Final answer
    x = 82.13

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.