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Finding the Third Proportional to 376,884 and 820,350

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Solution

The third proportional to 376,884 and 820,350 is: 1,785,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,884 : 820,350 = 820,350 : x
  2. Step 2: Convert to fraction form
    376,884/820,350 = 820,350/x
  3. Step 3: Cross multiply
    376,884x = 820,350 × 820,350
  4. Step 4: Simplify right side
    376,884x = 672,974,122,500
  5. Step 5: Solve for x
    x = 672,974,122,500/376,884
  6. Step 6: Final answer
    x = 1,785,626.67

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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.