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Finding the Third Proportional to 222.88 and 329.94

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Solution

The third proportional to 222.88 and 329.94 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.88 : 329.94 = 329.94 : x
  2. Step 2: Convert to fraction form
    222.88/329.94 = 329.94/x
  3. Step 3: Cross multiply
    222.88x = 329.94 × 329.94
  4. Step 4: Simplify right side
    222.88x = 108,858.75
  5. Step 5: Solve for x
    x = 108,858.75/222.88
  6. Step 6: Final answer
    x = 488.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.