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Finding the Third Proportional to 34.97 and 80.78

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Solution

The third proportional to 34.97 and 80.78 is: 186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 80.78 = 80.78 : x
  2. Step 2: Convert to fraction form
    34.97/80.78 = 80.78/x
  3. Step 3: Cross multiply
    34.97x = 80.78 × 80.78
  4. Step 4: Simplify right side
    34.97x = 6,525.61
  5. Step 5: Solve for x
    x = 6,525.61/34.97
  6. Step 6: Final answer
    x = 186.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.