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Finding the Third Proportional to 378.38 and 704.44

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Solution

The third proportional to 378.38 and 704.44 is: 1,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 704.44 = 704.44 : x
  2. Step 2: Convert to fraction form
    378.38/704.44 = 704.44/x
  3. Step 3: Cross multiply
    378.38x = 704.44 × 704.44
  4. Step 4: Simplify right side
    378.38x = 496,232.19
  5. Step 5: Solve for x
    x = 496,232.19/378.38
  6. Step 6: Final answer
    x = 1,311.48

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.