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Finding the Third Proportional to 222.66 and 396.94

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Solution

The third proportional to 222.66 and 396.94 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 396.94 = 396.94 : x
  2. Step 2: Convert to fraction form
    222.66/396.94 = 396.94/x
  3. Step 3: Cross multiply
    222.66x = 396.94 × 396.94
  4. Step 4: Simplify right side
    222.66x = 157,559.38
  5. Step 5: Solve for x
    x = 157,559.38/222.66
  6. Step 6: Final answer
    x = 707.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.