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Finding the Third Proportional to 178.97 and 276.61

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Solution

The third proportional to 178.97 and 276.61 is: 427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 276.61 = 276.61 : x
  2. Step 2: Convert to fraction form
    178.97/276.61 = 276.61/x
  3. Step 3: Cross multiply
    178.97x = 276.61 × 276.61
  4. Step 4: Simplify right side
    178.97x = 76,512.75
  5. Step 5: Solve for x
    x = 76,512.75/178.97
  6. Step 6: Final answer
    x = 427.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.