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Finding the Third Proportional to 376,956 and 820,396

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Solution

The third proportional to 376,956 and 820,396 is: 1,785,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,956 : 820,396 = 820,396 : x
  2. Step 2: Convert to fraction form
    376,956/820,396 = 820,396/x
  3. Step 3: Cross multiply
    376,956x = 820,396 × 820,396
  4. Step 4: Simplify right side
    376,956x = 673,049,596,816
  5. Step 5: Solve for x
    x = 673,049,596,816/376,956
  6. Step 6: Final answer
    x = 1,785,485.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.