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Finding the Third Proportional to 24.87 and 54.80

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Solution

The third proportional to 24.87 and 54.80 is: 120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.87 : 54.80 = 54.80 : x
  2. Step 2: Convert to fraction form
    24.87/54.80 = 54.80/x
  3. Step 3: Cross multiply
    24.87x = 54.80 × 54.80
  4. Step 4: Simplify right side
    24.87x = 3,003.50
  5. Step 5: Solve for x
    x = 3,003.50/24.87
  6. Step 6: Final answer
    x = 120.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.