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Finding the Third Proportional to 222.12 and 316.09

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Solution

The third proportional to 222.12 and 316.09 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 316.09 = 316.09 : x
  2. Step 2: Convert to fraction form
    222.12/316.09 = 316.09/x
  3. Step 3: Cross multiply
    222.12x = 316.09 × 316.09
  4. Step 4: Simplify right side
    222.12x = 99,912.79
  5. Step 5: Solve for x
    x = 99,912.79/222.12
  6. Step 6: Final answer
    x = 449.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.