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Finding the Third Proportional to 318.73 and 739.65

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Solution

The third proportional to 318.73 and 739.65 is: 1,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.73 : 739.65 = 739.65 : x
  2. Step 2: Convert to fraction form
    318.73/739.65 = 739.65/x
  3. Step 3: Cross multiply
    318.73x = 739.65 × 739.65
  4. Step 4: Simplify right side
    318.73x = 547,085.59
  5. Step 5: Solve for x
    x = 547,085.59/318.73
  6. Step 6: Final answer
    x = 1,716.47

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.