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Finding the Third Proportional to 180,892 and 397,874

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Solution

The third proportional to 180,892 and 397,874 is: 875,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,892 : 397,874 = 397,874 : x
  2. Step 2: Convert to fraction form
    180,892/397,874 = 397,874/x
  3. Step 3: Cross multiply
    180,892x = 397,874 × 397,874
  4. Step 4: Simplify right side
    180,892x = 158,303,719,876
  5. Step 5: Solve for x
    x = 158,303,719,876/180,892
  6. Step 6: Final answer
    x = 875,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.