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Finding the Third Proportional to 108,900 and 222,408

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Solution

The third proportional to 108,900 and 222,408 is: 454,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,900 : 222,408 = 222,408 : x
  2. Step 2: Convert to fraction form
    108,900/222,408 = 222,408/x
  3. Step 3: Cross multiply
    108,900x = 222,408 × 222,408
  4. Step 4: Simplify right side
    108,900x = 49,465,318,464
  5. Step 5: Solve for x
    x = 49,465,318,464/108,900
  6. Step 6: Final answer
    x = 454,226.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.