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Finding the Third Proportional to 207,008 and 421,628

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Solution

The third proportional to 207,008 and 421,628 is: 858,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,008 : 421,628 = 421,628 : x
  2. Step 2: Convert to fraction form
    207,008/421,628 = 421,628/x
  3. Step 3: Cross multiply
    207,008x = 421,628 × 421,628
  4. Step 4: Simplify right side
    207,008x = 177,770,170,384
  5. Step 5: Solve for x
    x = 177,770,170,384/207,008
  6. Step 6: Final answer
    x = 858,759.90

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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.