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Finding the Third Proportional to 721.13 and 1,743.75

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Solution

The third proportional to 721.13 and 1,743.75 is: 4,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.13 : 1,743.75 = 1,743.75 : x
  2. Step 2: Convert to fraction form
    721.13/1,743.75 = 1,743.75/x
  3. Step 3: Cross multiply
    721.13x = 1,743.75 × 1,743.75
  4. Step 4: Simplify right side
    721.13x = 3,040,664.06
  5. Step 5: Solve for x
    x = 3,040,664.06/721.13
  6. Step 6: Final answer
    x = 4,216.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.