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Finding the Third Proportional to 203,920 and 422,176

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Solution

The third proportional to 203,920 and 422,176 is: 874,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920 : 422,176 = 422,176 : x
  2. Step 2: Convert to fraction form
    203,920/422,176 = 422,176/x
  3. Step 3: Cross multiply
    203,920x = 422,176 × 422,176
  4. Step 4: Simplify right side
    203,920x = 178,232,574,976
  5. Step 5: Solve for x
    x = 178,232,574,976/203,920
  6. Step 6: Final answer
    x = 874,031.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.