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Finding the Third Proportional to 213,872 and 286,204

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Solution

The third proportional to 213,872 and 286,204 is: 382,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,872 : 286,204 = 286,204 : x
  2. Step 2: Convert to fraction form
    213,872/286,204 = 286,204/x
  3. Step 3: Cross multiply
    213,872x = 286,204 × 286,204
  4. Step 4: Simplify right side
    213,872x = 81,912,729,616
  5. Step 5: Solve for x
    x = 81,912,729,616/213,872
  6. Step 6: Final answer
    x = 382,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.