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Finding the Third Proportional to 273,900 and 421,218

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Solution

The third proportional to 273,900 and 421,218 is: 647,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,900 : 421,218 = 421,218 : x
  2. Step 2: Convert to fraction form
    273,900/421,218 = 421,218/x
  3. Step 3: Cross multiply
    273,900x = 421,218 × 421,218
  4. Step 4: Simplify right side
    273,900x = 177,424,603,524
  5. Step 5: Solve for x
    x = 177,424,603,524/273,900
  6. Step 6: Final answer
    x = 647,771.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.