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Finding the Third Proportional to 34,327 and 80,197

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Solution

The third proportional to 34,327 and 80,197 is: 187,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,327 : 80,197 = 80,197 : x
  2. Step 2: Convert to fraction form
    34,327/80,197 = 80,197/x
  3. Step 3: Cross multiply
    34,327x = 80,197 × 80,197
  4. Step 4: Simplify right side
    34,327x = 6,431,558,809
  5. Step 5: Solve for x
    x = 6,431,558,809/34,327
  6. Step 6: Final answer
    x = 187,361.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.