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Finding the Third Proportional to 39 and 42.75

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Solution

The third proportional to 39 and 42.75 is: 46.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39 : 42.75 = 42.75 : x
  2. Step 2: Convert to fraction form
    39/42.75 = 42.75/x
  3. Step 3: Cross multiply
    39x = 42.75 × 42.75
  4. Step 4: Simplify right side
    39x = 1,827.56
  5. Step 5: Solve for x
    x = 1,827.56/39
  6. Step 6: Final answer
    x = 46.86

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.