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Finding the Third Proportional to 80.04 and 171.96

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Solution

The third proportional to 80.04 and 171.96 is: 369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.04 : 171.96 = 171.96 : x
  2. Step 2: Convert to fraction form
    80.04/171.96 = 171.96/x
  3. Step 3: Cross multiply
    80.04x = 171.96 × 171.96
  4. Step 4: Simplify right side
    80.04x = 29,570.56
  5. Step 5: Solve for x
    x = 29,570.56/80.04
  6. Step 6: Final answer
    x = 369.45

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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.