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Finding the Third Proportional to 377,379 and 821,191

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Solution

The third proportional to 377,379 and 821,191 is: 1,786,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,379 : 821,191 = 821,191 : x
  2. Step 2: Convert to fraction form
    377,379/821,191 = 821,191/x
  3. Step 3: Cross multiply
    377,379x = 821,191 × 821,191
  4. Step 4: Simplify right side
    377,379x = 674,354,658,481
  5. Step 5: Solve for x
    x = 674,354,658,481/377,379
  6. Step 6: Final answer
    x = 1,786,942.72

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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.