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Finding the Third Proportional to 721.78 and 1,558.97

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Solution

The third proportional to 721.78 and 1,558.97 is: 3,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.78 : 1,558.97 = 1,558.97 : x
  2. Step 2: Convert to fraction form
    721.78/1,558.97 = 1,558.97/x
  3. Step 3: Cross multiply
    721.78x = 1,558.97 × 1,558.97
  4. Step 4: Simplify right side
    721.78x = 2,430,383.56
  5. Step 5: Solve for x
    x = 2,430,383.56/721.78
  6. Step 6: Final answer
    x = 3,367.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.