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Finding the Third Proportional to 381,996 and 820,368

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Solution

The third proportional to 381,996 and 820,368 is: 1,761,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996 : 820,368 = 820,368 : x
  2. Step 2: Convert to fraction form
    381,996/820,368 = 820,368/x
  3. Step 3: Cross multiply
    381,996x = 820,368 × 820,368
  4. Step 4: Simplify right side
    381,996x = 673,003,655,424
  5. Step 5: Solve for x
    x = 673,003,655,424/381,996
  6. Step 6: Final answer
    x = 1,761,808.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.