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Finding the Third Proportional to 214,934 and 331,418

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Solution

The third proportional to 214,934 and 331,418 is: 511,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,934 : 331,418 = 331,418 : x
  2. Step 2: Convert to fraction form
    214,934/331,418 = 331,418/x
  3. Step 3: Cross multiply
    214,934x = 331,418 × 331,418
  4. Step 4: Simplify right side
    214,934x = 109,837,890,724
  5. Step 5: Solve for x
    x = 109,837,890,724/214,934
  6. Step 6: Final answer
    x = 511,030.78

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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.