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Finding the Third Proportional to 268,834 and 405,327

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Solution

The third proportional to 268,834 and 405,327 is: 611,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,834 : 405,327 = 405,327 : x
  2. Step 2: Convert to fraction form
    268,834/405,327 = 405,327/x
  3. Step 3: Cross multiply
    268,834x = 405,327 × 405,327
  4. Step 4: Simplify right side
    268,834x = 164,289,976,929
  5. Step 5: Solve for x
    x = 164,289,976,929/268,834
  6. Step 6: Final answer
    x = 611,120.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.