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Finding the Third Proportional to 54.82 and 75.11

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Solution

The third proportional to 54.82 and 75.11 is: 102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 75.11 = 75.11 : x
  2. Step 2: Convert to fraction form
    54.82/75.11 = 75.11/x
  3. Step 3: Cross multiply
    54.82x = 75.11 × 75.11
  4. Step 4: Simplify right side
    54.82x = 5,641.05
  5. Step 5: Solve for x
    x = 5,641.05/54.82
  6. Step 6: Final answer
    x = 102.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.