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Finding the Third Proportional to 339.05 and 739.27

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Solution

The third proportional to 339.05 and 739.27 is: 1,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.05 : 739.27 = 739.27 : x
  2. Step 2: Convert to fraction form
    339.05/739.27 = 739.27/x
  3. Step 3: Cross multiply
    339.05x = 739.27 × 739.27
  4. Step 4: Simplify right side
    339.05x = 546,513.66
  5. Step 5: Solve for x
    x = 546,513.66/339.05
  6. Step 6: Final answer
    x = 1,611.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.