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Finding the Third Proportional to 199,272 and 422,844

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Solution

The third proportional to 199,272 and 422,844 is: 897,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,272 : 422,844 = 422,844 : x
  2. Step 2: Convert to fraction form
    199,272/422,844 = 422,844/x
  3. Step 3: Cross multiply
    199,272x = 422,844 × 422,844
  4. Step 4: Simplify right side
    199,272x = 178,797,048,336
  5. Step 5: Solve for x
    x = 178,797,048,336/199,272
  6. Step 6: Final answer
    x = 897,251.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.