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Finding the Third Proportional to 54.33 and 80.48

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Solution

The third proportional to 54.33 and 80.48 is: 119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.33 : 80.48 = 80.48 : x
  2. Step 2: Convert to fraction form
    54.33/80.48 = 80.48/x
  3. Step 3: Cross multiply
    54.33x = 80.48 × 80.48
  4. Step 4: Simplify right side
    54.33x = 6,477.73
  5. Step 5: Solve for x
    x = 6,477.73/54.33
  6. Step 6: Final answer
    x = 119.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.