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Finding the Third Proportional to 331,802 and 503,847

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Solution

The third proportional to 331,802 and 503,847 is: 765,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,802 : 503,847 = 503,847 : x
  2. Step 2: Convert to fraction form
    331,802/503,847 = 503,847/x
  3. Step 3: Cross multiply
    331,802x = 503,847 × 503,847
  4. Step 4: Simplify right side
    331,802x = 253,861,799,409
  5. Step 5: Solve for x
    x = 253,861,799,409/331,802
  6. Step 6: Final answer
    x = 765,100.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.