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Finding the Third Proportional to 721.41 and 1,119.66

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Solution

The third proportional to 721.41 and 1,119.66 is: 1,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.41 : 1,119.66 = 1,119.66 : x
  2. Step 2: Convert to fraction form
    721.41/1,119.66 = 1,119.66/x
  3. Step 3: Cross multiply
    721.41x = 1,119.66 × 1,119.66
  4. Step 4: Simplify right side
    721.41x = 1,253,630.12
  5. Step 5: Solve for x
    x = 1,253,630.12/721.41
  6. Step 6: Final answer
    x = 1,737.76

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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.