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Finding the Third Proportional to 331,861 and 503,907

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Solution

The third proportional to 331,861 and 503,907 is: 765,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,861 : 503,907 = 503,907 : x
  2. Step 2: Convert to fraction form
    331,861/503,907 = 503,907/x
  3. Step 3: Cross multiply
    331,861x = 503,907 × 503,907
  4. Step 4: Simplify right side
    331,861x = 253,922,264,649
  5. Step 5: Solve for x
    x = 253,922,264,649/331,861
  6. Step 6: Final answer
    x = 765,146.45

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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.