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Finding the Third Proportional to 214,920 and 331,401

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Solution

The third proportional to 214,920 and 331,401 is: 511,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,920 : 331,401 = 331,401 : x
  2. Step 2: Convert to fraction form
    214,920/331,401 = 331,401/x
  3. Step 3: Cross multiply
    214,920x = 331,401 × 331,401
  4. Step 4: Simplify right side
    214,920x = 109,826,622,801
  5. Step 5: Solve for x
    x = 109,826,622,801/214,920
  6. Step 6: Final answer
    x = 511,011.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.