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Finding the Third Proportional to 214,000 and 331,180

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Solution

The third proportional to 214,000 and 331,180 is: 512,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,000 : 331,180 = 331,180 : x
  2. Step 2: Convert to fraction form
    214,000/331,180 = 331,180/x
  3. Step 3: Cross multiply
    214,000x = 331,180 × 331,180
  4. Step 4: Simplify right side
    214,000x = 109,680,192,400
  5. Step 5: Solve for x
    x = 109,680,192,400/214,000
  6. Step 6: Final answer
    x = 512,524.26

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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.