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Finding the Third Proportional to 678.38 and 926.44

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Solution

The third proportional to 678.38 and 926.44 is: 1,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 926.44 = 926.44 : x
  2. Step 2: Convert to fraction form
    678.38/926.44 = 926.44/x
  3. Step 3: Cross multiply
    678.38x = 926.44 × 926.44
  4. Step 4: Simplify right side
    678.38x = 858,286.44
  5. Step 5: Solve for x
    x = 858,286.44/678.38
  6. Step 6: Final answer
    x = 1,265.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.