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Finding the Third Proportional to 80.09 and 108.92

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Solution

The third proportional to 80.09 and 108.92 is: 148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 108.92 = 108.92 : x
  2. Step 2: Convert to fraction form
    80.09/108.92 = 108.92/x
  3. Step 3: Cross multiply
    80.09x = 108.92 × 108.92
  4. Step 4: Simplify right side
    80.09x = 11,864.19
  5. Step 5: Solve for x
    x = 11,864.19/80.09
  6. Step 6: Final answer
    x = 148.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.