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Finding the Third Proportional to 226.23 and 478.09

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Solution

The third proportional to 226.23 and 478.09 is: 1,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 478.09 = 478.09 : x
  2. Step 2: Convert to fraction form
    226.23/478.09 = 478.09/x
  3. Step 3: Cross multiply
    226.23x = 478.09 × 478.09
  4. Step 4: Simplify right side
    226.23x = 228,569.90
  5. Step 5: Solve for x
    x = 228,569.90/226.23
  6. Step 6: Final answer
    x = 1,010.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.