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Finding the Third Proportional to 202,192 and 420,800

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Solution

The third proportional to 202,192 and 420,800 is: 875,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,192 : 420,800 = 420,800 : x
  2. Step 2: Convert to fraction form
    202,192/420,800 = 420,800/x
  3. Step 3: Cross multiply
    202,192x = 420,800 × 420,800
  4. Step 4: Simplify right side
    202,192x = 177,072,640,000
  5. Step 5: Solve for x
    x = 177,072,640,000/202,192
  6. Step 6: Final answer
    x = 875,764.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.