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Finding the Third Proportional to 378.38 and 675.38

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Solution

The third proportional to 378.38 and 675.38 is: 1,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 675.38 = 675.38 : x
  2. Step 2: Convert to fraction form
    378.38/675.38 = 675.38/x
  3. Step 3: Cross multiply
    378.38x = 675.38 × 675.38
  4. Step 4: Simplify right side
    378.38x = 456,131.39
  5. Step 5: Solve for x
    x = 456,131.39/378.38
  6. Step 6: Final answer
    x = 1,205.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.