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Finding the Third Proportional to 397,190 and 851,234

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Solution

The third proportional to 397,190 and 851,234 is: 1,824,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,190 : 851,234 = 851,234 : x
  2. Step 2: Convert to fraction form
    397,190/851,234 = 851,234/x
  3. Step 3: Cross multiply
    397,190x = 851,234 × 851,234
  4. Step 4: Simplify right side
    397,190x = 724,599,322,756
  5. Step 5: Solve for x
    x = 724,599,322,756/397,190
  6. Step 6: Final answer
    x = 1,824,314.11

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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.