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Finding the Third Proportional to 210,839 and 451,811

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Solution

The third proportional to 210,839 and 451,811 is: 968,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,839 : 451,811 = 451,811 : x
  2. Step 2: Convert to fraction form
    210,839/451,811 = 451,811/x
  3. Step 3: Cross multiply
    210,839x = 451,811 × 451,811
  4. Step 4: Simplify right side
    210,839x = 204,133,179,721
  5. Step 5: Solve for x
    x = 204,133,179,721/210,839
  6. Step 6: Final answer
    x = 968,194.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.