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Finding the Third Proportional to 323,635 and 502,493

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Solution

The third proportional to 323,635 and 502,493 is: 780,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,635 : 502,493 = 502,493 : x
  2. Step 2: Convert to fraction form
    323,635/502,493 = 502,493/x
  3. Step 3: Cross multiply
    323,635x = 502,493 × 502,493
  4. Step 4: Simplify right side
    323,635x = 252,499,215,049
  5. Step 5: Solve for x
    x = 252,499,215,049/323,635
  6. Step 6: Final answer
    x = 780,197.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.