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Finding the Third Proportional to 226.78 and 381.84

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Solution

The third proportional to 226.78 and 381.84 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 381.84 = 381.84 : x
  2. Step 2: Convert to fraction form
    226.78/381.84 = 381.84/x
  3. Step 3: Cross multiply
    226.78x = 381.84 × 381.84
  4. Step 4: Simplify right side
    226.78x = 145,804.65
  5. Step 5: Solve for x
    x = 145,804.65/226.78
  6. Step 6: Final answer
    x = 642.93

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.