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Finding the Third Proportional to 222,795 and 481,101

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Solution

The third proportional to 222,795 and 481,101 is: 1,038,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,795 : 481,101 = 481,101 : x
  2. Step 2: Convert to fraction form
    222,795/481,101 = 481,101/x
  3. Step 3: Cross multiply
    222,795x = 481,101 × 481,101
  4. Step 4: Simplify right side
    222,795x = 231,458,172,201
  5. Step 5: Solve for x
    x = 231,458,172,201/222,795
  6. Step 6: Final answer
    x = 1,038,884.05

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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.