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Finding the Third Proportional to 223,227 and 481,448

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Solution

The third proportional to 223,227 and 481,448 is: 1,038,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,227 : 481,448 = 481,448 : x
  2. Step 2: Convert to fraction form
    223,227/481,448 = 481,448/x
  3. Step 3: Cross multiply
    223,227x = 481,448 × 481,448
  4. Step 4: Simplify right side
    223,227x = 231,792,176,704
  5. Step 5: Solve for x
    x = 231,792,176,704/223,227
  6. Step 6: Final answer
    x = 1,038,369.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.