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Finding the Third Proportional to 523.31 and 791.69

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Solution

The third proportional to 523.31 and 791.69 is: 1,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.31 : 791.69 = 791.69 : x
  2. Step 2: Convert to fraction form
    523.31/791.69 = 791.69/x
  3. Step 3: Cross multiply
    523.31x = 791.69 × 791.69
  4. Step 4: Simplify right side
    523.31x = 626,769.10
  5. Step 5: Solve for x
    x = 626,769.10/523.31
  6. Step 6: Final answer
    x = 1,197.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.