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Finding the Third Proportional to 214,019 and 331,218

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Solution

The third proportional to 214,019 and 331,218 is: 512,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,019 : 331,218 = 331,218 : x
  2. Step 2: Convert to fraction form
    214,019/331,218 = 331,218/x
  3. Step 3: Cross multiply
    214,019x = 331,218 × 331,218
  4. Step 4: Simplify right side
    214,019x = 109,705,363,524
  5. Step 5: Solve for x
    x = 109,705,363,524/214,019
  6. Step 6: Final answer
    x = 512,596.37

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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.