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Finding the Third Proportional to 205,930 and 421,894

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Solution

The third proportional to 205,930 and 421,894 is: 864,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,930 : 421,894 = 421,894 : x
  2. Step 2: Convert to fraction form
    205,930/421,894 = 421,894/x
  3. Step 3: Cross multiply
    205,930x = 421,894 × 421,894
  4. Step 4: Simplify right side
    205,930x = 177,994,547,236
  5. Step 5: Solve for x
    x = 177,994,547,236/205,930
  6. Step 6: Final answer
    x = 864,344.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.