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Finding the Third Proportional to 20.11 and 29.23

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Solution

The third proportional to 20.11 and 29.23 is: 42.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.11 : 29.23 = 29.23 : x
  2. Step 2: Convert to fraction form
    20.11/29.23 = 29.23/x
  3. Step 3: Cross multiply
    20.11x = 29.23 × 29.23
  4. Step 4: Simplify right side
    20.11x = 854.19
  5. Step 5: Solve for x
    x = 854.19/20.11
  6. Step 6: Final answer
    x = 42.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.