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Finding the Third Proportional to 397,728 and 858,993

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Solution

The third proportional to 397,728 and 858,993 is: 1,855,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,728 : 858,993 = 858,993 : x
  2. Step 2: Convert to fraction form
    397,728/858,993 = 858,993/x
  3. Step 3: Cross multiply
    397,728x = 858,993 × 858,993
  4. Step 4: Simplify right side
    397,728x = 737,868,974,049
  5. Step 5: Solve for x
    x = 737,868,974,049/397,728
  6. Step 6: Final answer
    x = 1,855,210.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.