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Finding the Third Proportional to 54.88 and 120.80

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Solution

The third proportional to 54.88 and 120.80 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.88 : 120.80 = 120.80 : x
  2. Step 2: Convert to fraction form
    54.88/120.80 = 120.80/x
  3. Step 3: Cross multiply
    54.88x = 120.80 × 120.80
  4. Step 4: Simplify right side
    54.88x = 14,591.89
  5. Step 5: Solve for x
    x = 14,591.89/54.88
  6. Step 6: Final answer
    x = 265.91

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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.