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Finding the Third Proportional to 380.81 and 791.44

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Solution

The third proportional to 380.81 and 791.44 is: 1,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.81 : 791.44 = 791.44 : x
  2. Step 2: Convert to fraction form
    380.81/791.44 = 791.44/x
  3. Step 3: Cross multiply
    380.81x = 791.44 × 791.44
  4. Step 4: Simplify right side
    380.81x = 626,373.32
  5. Step 5: Solve for x
    x = 626,373.32/380.81
  6. Step 6: Final answer
    x = 1,644.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.