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Finding the Third Proportional to 205,920 and 328,864

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Solution

The third proportional to 205,920 and 328,864 is: 525,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920 : 328,864 = 328,864 : x
  2. Step 2: Convert to fraction form
    205,920/328,864 = 328,864/x
  3. Step 3: Cross multiply
    205,920x = 328,864 × 328,864
  4. Step 4: Simplify right side
    205,920x = 108,151,530,496
  5. Step 5: Solve for x
    x = 108,151,530,496/205,920
  6. Step 6: Final answer
    x = 525,211.40

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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.