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Finding the Third Proportional to 174.66 and 324.21

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Solution

The third proportional to 174.66 and 324.21 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 324.21 = 324.21 : x
  2. Step 2: Convert to fraction form
    174.66/324.21 = 324.21/x
  3. Step 3: Cross multiply
    174.66x = 324.21 × 324.21
  4. Step 4: Simplify right side
    174.66x = 105,112.73
  5. Step 5: Solve for x
    x = 105,112.73/174.66
  6. Step 6: Final answer
    x = 601.83

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.