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Finding the Third Proportional to 207,009 and 421,629

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Solution

The third proportional to 207,009 and 421,629 is: 858,759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,009 : 421,629 = 421,629 : x
  2. Step 2: Convert to fraction form
    207,009/421,629 = 421,629/x
  3. Step 3: Cross multiply
    207,009x = 421,629 × 421,629
  4. Step 4: Simplify right side
    207,009x = 177,771,013,641
  5. Step 5: Solve for x
    x = 177,771,013,641/207,009
  6. Step 6: Final answer
    x = 858,759.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.