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Finding the Third Proportional to 23.20 and 54.74

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Solution

The third proportional to 23.20 and 54.74 is: 129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.20 : 54.74 = 54.74 : x
  2. Step 2: Convert to fraction form
    23.20/54.74 = 54.74/x
  3. Step 3: Cross multiply
    23.20x = 54.74 × 54.74
  4. Step 4: Simplify right side
    23.20x = 2,996.28
  5. Step 5: Solve for x
    x = 2,996.28/23.20
  6. Step 6: Final answer
    x = 129.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.