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Finding the Third Proportional to 150.82 and 318.73

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Solution

The third proportional to 150.82 and 318.73 is: 673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 318.73 = 318.73 : x
  2. Step 2: Convert to fraction form
    150.82/318.73 = 318.73/x
  3. Step 3: Cross multiply
    150.82x = 318.73 × 318.73
  4. Step 4: Simplify right side
    150.82x = 101,586.62
  5. Step 5: Solve for x
    x = 101,586.62/150.82
  6. Step 6: Final answer
    x = 673.56

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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.