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Finding the Third Proportional to 38.38 and 79.25

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Solution

The third proportional to 38.38 and 79.25 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.38 : 79.25 = 79.25 : x
  2. Step 2: Convert to fraction form
    38.38/79.25 = 79.25/x
  3. Step 3: Cross multiply
    38.38x = 79.25 × 79.25
  4. Step 4: Simplify right side
    38.38x = 6,280.56
  5. Step 5: Solve for x
    x = 6,280.56/38.38
  6. Step 6: Final answer
    x = 163.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.