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Finding the Third Proportional to 23.05 and 54.11

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Solution

The third proportional to 23.05 and 54.11 is: 127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 54.11 = 54.11 : x
  2. Step 2: Convert to fraction form
    23.05/54.11 = 54.11/x
  3. Step 3: Cross multiply
    23.05x = 54.11 × 54.11
  4. Step 4: Simplify right side
    23.05x = 2,928.20
  5. Step 5: Solve for x
    x = 2,928.20/23.05
  6. Step 6: Final answer
    x = 127.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.