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Finding the Third Proportional to 273,568 and 419,912

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Solution

The third proportional to 273,568 and 419,912 is: 644,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,568 : 419,912 = 419,912 : x
  2. Step 2: Convert to fraction form
    273,568/419,912 = 419,912/x
  3. Step 3: Cross multiply
    273,568x = 419,912 × 419,912
  4. Step 4: Simplify right side
    273,568x = 176,326,087,744
  5. Step 5: Solve for x
    x = 176,326,087,744/273,568
  6. Step 6: Final answer
    x = 644,542.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.