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Finding the Third Proportional to 38.25 and 54.75

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Solution

The third proportional to 38.25 and 54.75 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 54.75 = 54.75 : x
  2. Step 2: Convert to fraction form
    38.25/54.75 = 54.75/x
  3. Step 3: Cross multiply
    38.25x = 54.75 × 54.75
  4. Step 4: Simplify right side
    38.25x = 2,997.56
  5. Step 5: Solve for x
    x = 2,997.56/38.25
  6. Step 6: Final answer
    x = 78.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.