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Finding the Third Proportional to 215,055 and 322,218

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Solution

The third proportional to 215,055 and 322,218 is: 482,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,055 : 322,218 = 322,218 : x
  2. Step 2: Convert to fraction form
    215,055/322,218 = 322,218/x
  3. Step 3: Cross multiply
    215,055x = 322,218 × 322,218
  4. Step 4: Simplify right side
    215,055x = 103,824,439,524
  5. Step 5: Solve for x
    x = 103,824,439,524/215,055
  6. Step 6: Final answer
    x = 482,780.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.