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Finding the Third Proportional to 204,633 and 419,106

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Solution

The third proportional to 204,633 and 419,106 is: 858,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,633 : 419,106 = 419,106 : x
  2. Step 2: Convert to fraction form
    204,633/419,106 = 419,106/x
  3. Step 3: Cross multiply
    204,633x = 419,106 × 419,106
  4. Step 4: Simplify right side
    204,633x = 175,649,839,236
  5. Step 5: Solve for x
    x = 175,649,839,236/204,633
  6. Step 6: Final answer
    x = 858,365.17

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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.