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Finding the Third Proportional to 377,697 and 811,530

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Solution

The third proportional to 377,697 and 811,530 is: 1,743,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,697 : 811,530 = 811,530 : x
  2. Step 2: Convert to fraction form
    377,697/811,530 = 811,530/x
  3. Step 3: Cross multiply
    377,697x = 811,530 × 811,530
  4. Step 4: Simplify right side
    377,697x = 658,580,940,900
  5. Step 5: Solve for x
    x = 658,580,940,900/377,697
  6. Step 6: Final answer
    x = 1,743,675.33

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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.