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Finding the Third Proportional to 199,930 and 422,338

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Solution

The third proportional to 199,930 and 422,338 is: 892,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,930 : 422,338 = 422,338 : x
  2. Step 2: Convert to fraction form
    199,930/422,338 = 422,338/x
  3. Step 3: Cross multiply
    199,930x = 422,338 × 422,338
  4. Step 4: Simplify right side
    199,930x = 178,369,386,244
  5. Step 5: Solve for x
    x = 178,369,386,244/199,930
  6. Step 6: Final answer
    x = 892,159.19

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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.