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Finding the Third Proportional to 195,930 and 400,162

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Solution

The third proportional to 195,930 and 400,162 is: 817,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,930 : 400,162 = 400,162 : x
  2. Step 2: Convert to fraction form
    195,930/400,162 = 400,162/x
  3. Step 3: Cross multiply
    195,930x = 400,162 × 400,162
  4. Step 4: Simplify right side
    195,930x = 160,129,626,244
  5. Step 5: Solve for x
    x = 160,129,626,244/195,930
  6. Step 6: Final answer
    x = 817,279.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.