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Finding the Third Proportional to 222.66 and 445.27

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Solution

The third proportional to 222.66 and 445.27 is: 890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 445.27 = 445.27 : x
  2. Step 2: Convert to fraction form
    222.66/445.27 = 445.27/x
  3. Step 3: Cross multiply
    222.66x = 445.27 × 445.27
  4. Step 4: Simplify right side
    222.66x = 198,261.48
  5. Step 5: Solve for x
    x = 198,261.48/222.66
  6. Step 6: Final answer
    x = 890.44

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.