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Finding the Third Proportional to 210,836 and 445,204

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Solution

The third proportional to 210,836 and 445,204 is: 940,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,836 : 445,204 = 445,204 : x
  2. Step 2: Convert to fraction form
    210,836/445,204 = 445,204/x
  3. Step 3: Cross multiply
    210,836x = 445,204 × 445,204
  4. Step 4: Simplify right side
    210,836x = 198,206,601,616
  5. Step 5: Solve for x
    x = 198,206,601,616/210,836
  6. Step 6: Final answer
    x = 940,098.47

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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.