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Finding the Third Proportional to 251,297.75 and 388,616.75

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Solution

The third proportional to 251,297.75 and 388,616.75 is: 600,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,297.75 : 388,616.75 = 388,616.75 : x
  2. Step 2: Convert to fraction form
    251,297.75/388,616.75 = 388,616.75/x
  3. Step 3: Cross multiply
    251,297.75x = 388,616.75 × 388,616.75
  4. Step 4: Simplify right side
    251,297.75x = 151,022,978,380.56
  5. Step 5: Solve for x
    x = 151,022,978,380.56/251,297.75
  6. Step 6: Final answer
    x = 600,972.27

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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.