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Finding the Third Proportional to 131,327 and 191,249

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Solution

The third proportional to 131,327 and 191,249 is: 278,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,327 : 191,249 = 191,249 : x
  2. Step 2: Convert to fraction form
    131,327/191,249 = 191,249/x
  3. Step 3: Cross multiply
    131,327x = 191,249 × 191,249
  4. Step 4: Simplify right side
    131,327x = 36,576,180,001
  5. Step 5: Solve for x
    x = 36,576,180,001/131,327
  6. Step 6: Final answer
    x = 278,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.