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Finding the Third Proportional to 222.44 and 332.97

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Solution

The third proportional to 222.44 and 332.97 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.44 : 332.97 = 332.97 : x
  2. Step 2: Convert to fraction form
    222.44/332.97 = 332.97/x
  3. Step 3: Cross multiply
    222.44x = 332.97 × 332.97
  4. Step 4: Simplify right side
    222.44x = 110,868.19
  5. Step 5: Solve for x
    x = 110,868.19/222.44
  6. Step 6: Final answer
    x = 498.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.