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Finding the Third Proportional to 226.83 and 454.78

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Solution

The third proportional to 226.83 and 454.78 is: 911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.83 : 454.78 = 454.78 : x
  2. Step 2: Convert to fraction form
    226.83/454.78 = 454.78/x
  3. Step 3: Cross multiply
    226.83x = 454.78 × 454.78
  4. Step 4: Simplify right side
    226.83x = 206,825.99
  5. Step 5: Solve for x
    x = 206,825.99/226.83
  6. Step 6: Final answer
    x = 911.82

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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.