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Finding the Third Proportional to 203,828 and 416,722

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Solution

The third proportional to 203,828 and 416,722 is: 851,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,828 : 416,722 = 416,722 : x
  2. Step 2: Convert to fraction form
    203,828/416,722 = 416,722/x
  3. Step 3: Cross multiply
    203,828x = 416,722 × 416,722
  4. Step 4: Simplify right side
    203,828x = 173,657,225,284
  5. Step 5: Solve for x
    x = 173,657,225,284/203,828
  6. Step 6: Final answer
    x = 851,979.24

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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.