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Finding the Third Proportional to 38.84 and 80.53

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Solution

The third proportional to 38.84 and 80.53 is: 166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.84 : 80.53 = 80.53 : x
  2. Step 2: Convert to fraction form
    38.84/80.53 = 80.53/x
  3. Step 3: Cross multiply
    38.84x = 80.53 × 80.53
  4. Step 4: Simplify right side
    38.84x = 6,484.34
  5. Step 5: Solve for x
    x = 6,484.34/38.84
  6. Step 6: Final answer
    x = 166.95

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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.