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Finding the Third Proportional to 80.80 and 114.24

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Solution

The third proportional to 80.80 and 114.24 is: 161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.80 : 114.24 = 114.24 : x
  2. Step 2: Convert to fraction form
    80.80/114.24 = 114.24/x
  3. Step 3: Cross multiply
    80.80x = 114.24 × 114.24
  4. Step 4: Simplify right side
    80.80x = 13,051.33
  5. Step 5: Solve for x
    x = 13,051.33/80.80
  6. Step 6: Final answer
    x = 161.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.