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Finding the Third Proportional to 84.85 and 186.73

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Solution

The third proportional to 84.85 and 186.73 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 186.73 = 186.73 : x
  2. Step 2: Convert to fraction form
    84.85/186.73 = 186.73/x
  3. Step 3: Cross multiply
    84.85x = 186.73 × 186.73
  4. Step 4: Simplify right side
    84.85x = 34,869.00
  5. Step 5: Solve for x
    x = 34,869.00/84.85
  6. Step 6: Final answer
    x = 410.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.