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Finding the Third Proportional to 721.92 and 1,120.03

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Solution

The third proportional to 721.92 and 1,120.03 is: 1,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 1,120.03 = 1,120.03 : x
  2. Step 2: Convert to fraction form
    721.92/1,120.03 = 1,120.03/x
  3. Step 3: Cross multiply
    721.92x = 1,120.03 × 1,120.03
  4. Step 4: Simplify right side
    721.92x = 1,254,470.00
  5. Step 5: Solve for x
    x = 1,254,470.00/721.92
  6. Step 6: Final answer
    x = 1,737.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.