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Finding the Third Proportional to 378.38 and 618.94

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Solution

The third proportional to 378.38 and 618.94 is: 1,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 618.94 = 618.94 : x
  2. Step 2: Convert to fraction form
    378.38/618.94 = 618.94/x
  3. Step 3: Cross multiply
    378.38x = 618.94 × 618.94
  4. Step 4: Simplify right side
    378.38x = 383,083.63
  5. Step 5: Solve for x
    x = 383,083.63/378.38
  6. Step 6: Final answer
    x = 1,012.44

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.