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Finding the Third Proportional to 39.48 and 54.12

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Solution

The third proportional to 39.48 and 54.12 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.48 : 54.12 = 54.12 : x
  2. Step 2: Convert to fraction form
    39.48/54.12 = 54.12/x
  3. Step 3: Cross multiply
    39.48x = 54.12 × 54.12
  4. Step 4: Simplify right side
    39.48x = 2,928.67
  5. Step 5: Solve for x
    x = 2,928.67/39.48
  6. Step 6: Final answer
    x = 74.17

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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.