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Finding the Third Proportional to 205,930 and 328,879

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Solution

The third proportional to 205,930 and 328,879 is: 525,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,930 : 328,879 = 328,879 : x
  2. Step 2: Convert to fraction form
    205,930/328,879 = 328,879/x
  3. Step 3: Cross multiply
    205,930x = 328,879 × 328,879
  4. Step 4: Simplify right side
    205,930x = 108,161,396,641
  5. Step 5: Solve for x
    x = 108,161,396,641/205,930
  6. Step 6: Final answer
    x = 525,233.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.