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Finding the Third Proportional to 331,786 and 503,823

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Solution

The third proportional to 331,786 and 503,823 is: 765,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,786 : 503,823 = 503,823 : x
  2. Step 2: Convert to fraction form
    331,786/503,823 = 503,823/x
  3. Step 3: Cross multiply
    331,786x = 503,823 × 503,823
  4. Step 4: Simplify right side
    331,786x = 253,837,615,329
  5. Step 5: Solve for x
    x = 253,837,615,329/331,786
  6. Step 6: Final answer
    x = 765,064.27

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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.