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Finding the Third Proportional to 381.94 and 781.69

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Solution

The third proportional to 381.94 and 781.69 is: 1,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 781.69 = 781.69 : x
  2. Step 2: Convert to fraction form
    381.94/781.69 = 781.69/x
  3. Step 3: Cross multiply
    381.94x = 781.69 × 781.69
  4. Step 4: Simplify right side
    381.94x = 611,035.35
  5. Step 5: Solve for x
    x = 611,035.35/381.94
  6. Step 6: Final answer
    x = 1,599.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.