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Finding the Third Proportional to 38.19 and 42.97

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Solution

The third proportional to 38.19 and 42.97 is: 48.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.19 : 42.97 = 42.97 : x
  2. Step 2: Convert to fraction form
    38.19/42.97 = 42.97/x
  3. Step 3: Cross multiply
    38.19x = 42.97 × 42.97
  4. Step 4: Simplify right side
    38.19x = 1,846.31
  5. Step 5: Solve for x
    x = 1,846.31/38.19
  6. Step 6: Final answer
    x = 48.35

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.