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Finding the Third Proportional to 38.28 and 82.28

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Solution

The third proportional to 38.28 and 82.28 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.28 : 82.28 = 82.28 : x
  2. Step 2: Convert to fraction form
    38.28/82.28 = 82.28/x
  3. Step 3: Cross multiply
    38.28x = 82.28 × 82.28
  4. Step 4: Simplify right side
    38.28x = 6,770.20
  5. Step 5: Solve for x
    x = 6,770.20/38.28
  6. Step 6: Final answer
    x = 176.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.