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Finding the Third Proportional to 494.09 and 739.83

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Solution

The third proportional to 494.09 and 739.83 is: 1,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 739.83 = 739.83 : x
  2. Step 2: Convert to fraction form
    494.09/739.83 = 739.83/x
  3. Step 3: Cross multiply
    494.09x = 739.83 × 739.83
  4. Step 4: Simplify right side
    494.09x = 547,345.65
  5. Step 5: Solve for x
    x = 547,345.65/494.09
  6. Step 6: Final answer
    x = 1,107.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.