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Finding the Third Proportional to 721.97 and 994.36

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Solution

The third proportional to 721.97 and 994.36 is: 1,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.97 : 994.36 = 994.36 : x
  2. Step 2: Convert to fraction form
    721.97/994.36 = 994.36/x
  3. Step 3: Cross multiply
    721.97x = 994.36 × 994.36
  4. Step 4: Simplify right side
    721.97x = 988,750.57
  5. Step 5: Solve for x
    x = 988,750.57/721.97
  6. Step 6: Final answer
    x = 1,369.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.