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Finding the Third Proportional to 81.98 and 178.73

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Solution

The third proportional to 81.98 and 178.73 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 178.73 = 178.73 : x
  2. Step 2: Convert to fraction form
    81.98/178.73 = 178.73/x
  3. Step 3: Cross multiply
    81.98x = 178.73 × 178.73
  4. Step 4: Simplify right side
    81.98x = 31,945.98
  5. Step 5: Solve for x
    x = 31,945.98/81.98
  6. Step 6: Final answer
    x = 389.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.