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Finding the Third Proportional to 187,996 and 396,948

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Solution

The third proportional to 187,996 and 396,948 is: 838,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,996 : 396,948 = 396,948 : x
  2. Step 2: Convert to fraction form
    187,996/396,948 = 396,948/x
  3. Step 3: Cross multiply
    187,996x = 396,948 × 396,948
  4. Step 4: Simplify right side
    187,996x = 157,567,714,704
  5. Step 5: Solve for x
    x = 157,567,714,704/187,996
  6. Step 6: Final answer
    x = 838,143.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.