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Finding the Third Proportional to 721.75 and 1,558.88

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Solution

The third proportional to 721.75 and 1,558.88 is: 3,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.75 : 1,558.88 = 1,558.88 : x
  2. Step 2: Convert to fraction form
    721.75/1,558.88 = 1,558.88/x
  3. Step 3: Cross multiply
    721.75x = 1,558.88 × 1,558.88
  4. Step 4: Simplify right side
    721.75x = 2,430,091.27
  5. Step 5: Solve for x
    x = 2,430,091.27/721.75
  6. Step 6: Final answer
    x = 3,366.94

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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.