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Finding the Third Proportional to 54.46 and 80.09

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Solution

The third proportional to 54.46 and 80.09 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.46 : 80.09 = 80.09 : x
  2. Step 2: Convert to fraction form
    54.46/80.09 = 80.09/x
  3. Step 3: Cross multiply
    54.46x = 80.09 × 80.09
  4. Step 4: Simplify right side
    54.46x = 6,414.46
  5. Step 5: Solve for x
    x = 6,414.46/54.46
  6. Step 6: Final answer
    x = 117.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.