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Finding the Third Proportional to 338.25 and 739.88

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Solution

The third proportional to 338.25 and 739.88 is: 1,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 739.88 = 739.88 : x
  2. Step 2: Convert to fraction form
    338.25/739.88 = 739.88/x
  3. Step 3: Cross multiply
    338.25x = 739.88 × 739.88
  4. Step 4: Simplify right side
    338.25x = 547,415.02
  5. Step 5: Solve for x
    x = 547,415.02/338.25
  6. Step 6: Final answer
    x = 1,618.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.