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Finding the Third Proportional to 270,866 and 419,993

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Solution

The third proportional to 270,866 and 419,993 is: 651,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,866 : 419,993 = 419,993 : x
  2. Step 2: Convert to fraction form
    270,866/419,993 = 419,993/x
  3. Step 3: Cross multiply
    270,866x = 419,993 × 419,993
  4. Step 4: Simplify right side
    270,866x = 176,394,120,049
  5. Step 5: Solve for x
    x = 176,394,120,049/270,866
  6. Step 6: Final answer
    x = 651,222.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.