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Finding the Third Proportional to 222,797 and 481,107

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Solution

The third proportional to 222,797 and 481,107 is: 1,038,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,797 : 481,107 = 481,107 : x
  2. Step 2: Convert to fraction form
    222,797/481,107 = 481,107/x
  3. Step 3: Cross multiply
    222,797x = 481,107 × 481,107
  4. Step 4: Simplify right side
    222,797x = 231,463,945,449
  5. Step 5: Solve for x
    x = 231,463,945,449/222,797
  6. Step 6: Final answer
    x = 1,038,900.64

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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.