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Finding the Third Proportional to 205,940 and 328,894

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Solution

The third proportional to 205,940 and 328,894 is: 525,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,940 : 328,894 = 328,894 : x
  2. Step 2: Convert to fraction form
    205,940/328,894 = 328,894/x
  3. Step 3: Cross multiply
    205,940x = 328,894 × 328,894
  4. Step 4: Simplify right side
    205,940x = 108,171,263,236
  5. Step 5: Solve for x
    x = 108,171,263,236/205,940
  6. Step 6: Final answer
    x = 525,256.21

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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.