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Finding the Third Proportional to 80.06 and 180.38

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Solution

The third proportional to 80.06 and 180.38 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.06 : 180.38 = 180.38 : x
  2. Step 2: Convert to fraction form
    80.06/180.38 = 180.38/x
  3. Step 3: Cross multiply
    80.06x = 180.38 × 180.38
  4. Step 4: Simplify right side
    80.06x = 32,535.14
  5. Step 5: Solve for x
    x = 32,535.14/80.06
  6. Step 6: Final answer
    x = 406.37

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.