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Finding the Third Proportional to 812.67 and 1,249.38

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Solution

The third proportional to 812.67 and 1,249.38 is: 1,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.67 : 1,249.38 = 1,249.38 : x
  2. Step 2: Convert to fraction form
    812.67/1,249.38 = 1,249.38/x
  3. Step 3: Cross multiply
    812.67x = 1,249.38 × 1,249.38
  4. Step 4: Simplify right side
    812.67x = 1,560,957.41
  5. Step 5: Solve for x
    x = 1,560,957.41/812.67
  6. Step 6: Final answer
    x = 1,920.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.