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Finding the Third Proportional to 394,872 and 852,788

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Solution

The third proportional to 394,872 and 852,788 is: 1,841,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,872 : 852,788 = 852,788 : x
  2. Step 2: Convert to fraction form
    394,872/852,788 = 852,788/x
  3. Step 3: Cross multiply
    394,872x = 852,788 × 852,788
  4. Step 4: Simplify right side
    394,872x = 727,247,372,944
  5. Step 5: Solve for x
    x = 727,247,372,944/394,872
  6. Step 6: Final answer
    x = 1,841,729.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.