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Finding the Third Proportional to 38.29 and 79.81

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Solution

The third proportional to 38.29 and 79.81 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.29 : 79.81 = 79.81 : x
  2. Step 2: Convert to fraction form
    38.29/79.81 = 79.81/x
  3. Step 3: Cross multiply
    38.29x = 79.81 × 79.81
  4. Step 4: Simplify right side
    38.29x = 6,370.19
  5. Step 5: Solve for x
    x = 6,370.19/38.29
  6. Step 6: Final answer
    x = 166.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.