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Finding the Third Proportional to 214,915 and 331,394

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Solution

The third proportional to 214,915 and 331,394 is: 511,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,915 : 331,394 = 331,394 : x
  2. Step 2: Convert to fraction form
    214,915/331,394 = 331,394/x
  3. Step 3: Cross multiply
    214,915x = 331,394 × 331,394
  4. Step 4: Simplify right side
    214,915x = 109,821,983,236
  5. Step 5: Solve for x
    x = 109,821,983,236/214,915
  6. Step 6: Final answer
    x = 511,001.95

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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.