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Finding the Third Proportional to 80.44 and 128.81

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Solution

The third proportional to 80.44 and 128.81 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 128.81 = 128.81 : x
  2. Step 2: Convert to fraction form
    80.44/128.81 = 128.81/x
  3. Step 3: Cross multiply
    80.44x = 128.81 × 128.81
  4. Step 4: Simplify right side
    80.44x = 16,592.66
  5. Step 5: Solve for x
    x = 16,592.66/80.44
  6. Step 6: Final answer
    x = 206.28

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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.