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Finding the Third Proportional to 54.75 and 71.25

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Solution

The third proportional to 54.75 and 71.25 is: 92.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 71.25 = 71.25 : x
  2. Step 2: Convert to fraction form
    54.75/71.25 = 71.25/x
  3. Step 3: Cross multiply
    54.75x = 71.25 × 71.25
  4. Step 4: Simplify right side
    54.75x = 5,076.56
  5. Step 5: Solve for x
    x = 5,076.56/54.75
  6. Step 6: Final answer
    x = 92.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.