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Finding the Third Proportional to 231.81 and 489.69

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Solution

The third proportional to 231.81 and 489.69 is: 1,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.81 : 489.69 = 489.69 : x
  2. Step 2: Convert to fraction form
    231.81/489.69 = 489.69/x
  3. Step 3: Cross multiply
    231.81x = 489.69 × 489.69
  4. Step 4: Simplify right side
    231.81x = 239,793.85
  5. Step 5: Solve for x
    x = 239,793.85/231.81
  6. Step 6: Final answer
    x = 1,034.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.