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Finding the Third Proportional to 20.53 and 41.48

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Solution

The third proportional to 20.53 and 41.48 is: 83.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 41.48 = 41.48 : x
  2. Step 2: Convert to fraction form
    20.53/41.48 = 41.48/x
  3. Step 3: Cross multiply
    20.53x = 41.48 × 41.48
  4. Step 4: Simplify right side
    20.53x = 1,720.95
  5. Step 5: Solve for x
    x = 1,720.95/20.53
  6. Step 6: Final answer
    x = 83.82

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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.