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Finding the Third Proportional to 20.32 and 43.76

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Solution

The third proportional to 20.32 and 43.76 is: 94.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.32 : 43.76 = 43.76 : x
  2. Step 2: Convert to fraction form
    20.32/43.76 = 43.76/x
  3. Step 3: Cross multiply
    20.32x = 43.76 × 43.76
  4. Step 4: Simplify right side
    20.32x = 1,914.75
  5. Step 5: Solve for x
    x = 1,914.75/20.32
  6. Step 6: Final answer
    x = 94.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.