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Finding the Third Proportional to 381,170 and 501,231

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Solution

The third proportional to 381,170 and 501,231 is: 659,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,170 : 501,231 = 501,231 : x
  2. Step 2: Convert to fraction form
    381,170/501,231 = 501,231/x
  3. Step 3: Cross multiply
    381,170x = 501,231 × 501,231
  4. Step 4: Simplify right side
    381,170x = 251,232,515,361
  5. Step 5: Solve for x
    x = 251,232,515,361/381,170
  6. Step 6: Final answer
    x = 659,108.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.