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Finding the Third Proportional to 377,601 and 820,938

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Solution

The third proportional to 377,601 and 820,938 is: 1,784,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,601 : 820,938 = 820,938 : x
  2. Step 2: Convert to fraction form
    377,601/820,938 = 820,938/x
  3. Step 3: Cross multiply
    377,601x = 820,938 × 820,938
  4. Step 4: Simplify right side
    377,601x = 673,939,199,844
  5. Step 5: Solve for x
    x = 673,939,199,844/377,601
  6. Step 6: Final answer
    x = 1,784,791.88

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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.