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Finding the Third Proportional to 20.42 and 41.22

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Solution

The third proportional to 20.42 and 41.22 is: 83.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.42 : 41.22 = 41.22 : x
  2. Step 2: Convert to fraction form
    20.42/41.22 = 41.22/x
  3. Step 3: Cross multiply
    20.42x = 41.22 × 41.22
  4. Step 4: Simplify right side
    20.42x = 1,698.99
  5. Step 5: Solve for x
    x = 1,698.99/20.42
  6. Step 6: Final answer
    x = 83.19

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.