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Finding the Third Proportional to 73.69 and 80.44

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Solution

The third proportional to 73.69 and 80.44 is: 87.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 80.44 = 80.44 : x
  2. Step 2: Convert to fraction form
    73.69/80.44 = 80.44/x
  3. Step 3: Cross multiply
    73.69x = 80.44 × 80.44
  4. Step 4: Simplify right side
    73.69x = 6,470.19
  5. Step 5: Solve for x
    x = 6,470.19/73.69
  6. Step 6: Final answer
    x = 87.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.