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Finding the Third Proportional to 268,722 and 419,422

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Solution

The third proportional to 268,722 and 419,422 is: 654,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,722 : 419,422 = 419,422 : x
  2. Step 2: Convert to fraction form
    268,722/419,422 = 419,422/x
  3. Step 3: Cross multiply
    268,722x = 419,422 × 419,422
  4. Step 4: Simplify right side
    268,722x = 175,914,814,084
  5. Step 5: Solve for x
    x = 175,914,814,084/268,722
  6. Step 6: Final answer
    x = 654,634.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.