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Finding the Third Proportional to 38.92 and 83.85

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Solution

The third proportional to 38.92 and 83.85 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.92 : 83.85 = 83.85 : x
  2. Step 2: Convert to fraction form
    38.92/83.85 = 83.85/x
  3. Step 3: Cross multiply
    38.92x = 83.85 × 83.85
  4. Step 4: Simplify right side
    38.92x = 7,030.43
  5. Step 5: Solve for x
    x = 7,030.43/38.92
  6. Step 6: Final answer
    x = 180.65

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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.