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Finding the Third Proportional to 331.75 and 494.69

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Solution

The third proportional to 331.75 and 494.69 is: 737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 494.69 = 494.69 : x
  2. Step 2: Convert to fraction form
    331.75/494.69 = 494.69/x
  3. Step 3: Cross multiply
    331.75x = 494.69 × 494.69
  4. Step 4: Simplify right side
    331.75x = 244,715.72
  5. Step 5: Solve for x
    x = 244,715.72/331.75
  6. Step 6: Final answer
    x = 737.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.