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Finding the Third Proportional to 320,612 and 500,327

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Solution

The third proportional to 320,612 and 500,327 is: 780,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,612 : 500,327 = 500,327 : x
  2. Step 2: Convert to fraction form
    320,612/500,327 = 500,327/x
  3. Step 3: Cross multiply
    320,612x = 500,327 × 500,327
  4. Step 4: Simplify right side
    320,612x = 250,327,106,929
  5. Step 5: Solve for x
    x = 250,327,106,929/320,612
  6. Step 6: Final answer
    x = 780,778.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.