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Finding the Third Proportional to 739.97 and 1,213.73

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Solution

The third proportional to 739.97 and 1,213.73 is: 1,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.97 : 1,213.73 = 1,213.73 : x
  2. Step 2: Convert to fraction form
    739.97/1,213.73 = 1,213.73/x
  3. Step 3: Cross multiply
    739.97x = 1,213.73 × 1,213.73
  4. Step 4: Simplify right side
    739.97x = 1,473,151.13
  5. Step 5: Solve for x
    x = 1,473,151.13/739.97
  6. Step 6: Final answer
    x = 1,990.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.