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Finding the Third Proportional to 108,471 and 222,226

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Solution

The third proportional to 108,471 and 222,226 is: 455,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,471 : 222,226 = 222,226 : x
  2. Step 2: Convert to fraction form
    108,471/222,226 = 222,226/x
  3. Step 3: Cross multiply
    108,471x = 222,226 × 222,226
  4. Step 4: Simplify right side
    108,471x = 49,384,395,076
  5. Step 5: Solve for x
    x = 49,384,395,076/108,471
  6. Step 6: Final answer
    x = 455,277.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.