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Finding the Third Proportional to 199,946 and 422,366

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Solution

The third proportional to 199,946 and 422,366 is: 892,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,946 : 422,366 = 422,366 : x
  2. Step 2: Convert to fraction form
    199,946/422,366 = 422,366/x
  3. Step 3: Cross multiply
    199,946x = 422,366 × 422,366
  4. Step 4: Simplify right side
    199,946x = 178,393,037,956
  5. Step 5: Solve for x
    x = 178,393,037,956/199,946
  6. Step 6: Final answer
    x = 892,206.09

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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.