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Finding the Third Proportional to 226.44 and 342.09

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Solution

The third proportional to 226.44 and 342.09 is: 516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.44 : 342.09 = 342.09 : x
  2. Step 2: Convert to fraction form
    226.44/342.09 = 342.09/x
  3. Step 3: Cross multiply
    226.44x = 342.09 × 342.09
  4. Step 4: Simplify right side
    226.44x = 117,028.13
  5. Step 5: Solve for x
    x = 117,028.13/226.44
  6. Step 6: Final answer
    x = 516.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.