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Finding the Third Proportional to 397,876 and 775,447

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Solution

The third proportional to 397,876 and 775,447 is: 1,511,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,876 : 775,447 = 775,447 : x
  2. Step 2: Convert to fraction form
    397,876/775,447 = 775,447/x
  3. Step 3: Cross multiply
    397,876x = 775,447 × 775,447
  4. Step 4: Simplify right side
    397,876x = 601,318,049,809
  5. Step 5: Solve for x
    x = 601,318,049,809/397,876
  6. Step 6: Final answer
    x = 1,511,320.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.