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Finding the Third Proportional to 270,867 and 419,995

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Solution

The third proportional to 270,867 and 419,995 is: 651,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,867 : 419,995 = 419,995 : x
  2. Step 2: Convert to fraction form
    270,867/419,995 = 419,995/x
  3. Step 3: Cross multiply
    270,867x = 419,995 × 419,995
  4. Step 4: Simplify right side
    270,867x = 176,395,800,025
  5. Step 5: Solve for x
    x = 176,395,800,025/270,867
  6. Step 6: Final answer
    x = 651,226.62

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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.