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Finding the Third Proportional to 150,121 and 321,218

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Solution

The third proportional to 150,121 and 321,218 is: 687,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,121 : 321,218 = 321,218 : x
  2. Step 2: Convert to fraction form
    150,121/321,218 = 321,218/x
  3. Step 3: Cross multiply
    150,121x = 321,218 × 321,218
  4. Step 4: Simplify right side
    150,121x = 103,181,003,524
  5. Step 5: Solve for x
    x = 103,181,003,524/150,121
  6. Step 6: Final answer
    x = 687,318.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.