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Finding the Third Proportional to 80.44 and 128.34

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Solution

The third proportional to 80.44 and 128.34 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 128.34 = 128.34 : x
  2. Step 2: Convert to fraction form
    80.44/128.34 = 128.34/x
  3. Step 3: Cross multiply
    80.44x = 128.34 × 128.34
  4. Step 4: Simplify right side
    80.44x = 16,472.12
  5. Step 5: Solve for x
    x = 16,472.12/80.44
  6. Step 6: Final answer
    x = 204.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.