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Finding the Third Proportional to 213,997 and 451,868

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Solution

The third proportional to 213,997 and 451,868 is: 954,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,997 : 451,868 = 451,868 : x
  2. Step 2: Convert to fraction form
    213,997/451,868 = 451,868/x
  3. Step 3: Cross multiply
    213,997x = 451,868 × 451,868
  4. Step 4: Simplify right side
    213,997x = 204,184,689,424
  5. Step 5: Solve for x
    x = 204,184,689,424/213,997
  6. Step 6: Final answer
    x = 954,147.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.