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Finding the Third Proportional to 80,395 and 171,859

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Solution

The third proportional to 80,395 and 171,859 is: 367,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,395 : 171,859 = 171,859 : x
  2. Step 2: Convert to fraction form
    80,395/171,859 = 171,859/x
  3. Step 3: Cross multiply
    80,395x = 171,859 × 171,859
  4. Step 4: Simplify right side
    80,395x = 29,535,515,881
  5. Step 5: Solve for x
    x = 29,535,515,881/80,395
  6. Step 6: Final answer
    x = 367,380.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.