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Finding the Third Proportional to 377,617 and 820,977

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Solution

The third proportional to 377,617 and 820,977 is: 1,784,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,617 : 820,977 = 820,977 : x
  2. Step 2: Convert to fraction form
    377,617/820,977 = 820,977/x
  3. Step 3: Cross multiply
    377,617x = 820,977 × 820,977
  4. Step 4: Simplify right side
    377,617x = 674,003,234,529
  5. Step 5: Solve for x
    x = 674,003,234,529/377,617
  6. Step 6: Final answer
    x = 1,784,885.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.