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Finding the Third Proportional to 205,899 and 421,832

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Solution

The third proportional to 205,899 and 421,832 is: 864,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,899 : 421,832 = 421,832 : x
  2. Step 2: Convert to fraction form
    205,899/421,832 = 421,832/x
  3. Step 3: Cross multiply
    205,899x = 421,832 × 421,832
  4. Step 4: Simplify right side
    205,899x = 177,942,236,224
  5. Step 5: Solve for x
    x = 177,942,236,224/205,899
  6. Step 6: Final answer
    x = 864,220.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.