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Finding the Third Proportional to 625.72 and 791.94

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Solution

The third proportional to 625.72 and 791.94 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.72 : 791.94 = 791.94 : x
  2. Step 2: Convert to fraction form
    625.72/791.94 = 791.94/x
  3. Step 3: Cross multiply
    625.72x = 791.94 × 791.94
  4. Step 4: Simplify right side
    625.72x = 627,165.00
  5. Step 5: Solve for x
    x = 627,165.00/625.72
  6. Step 6: Final answer
    x = 1,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.