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Finding the Third Proportional to 81,171 and 179,859

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Solution

The third proportional to 81,171 and 179,859 is: 398,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,171 : 179,859 = 179,859 : x
  2. Step 2: Convert to fraction form
    81,171/179,859 = 179,859/x
  3. Step 3: Cross multiply
    81,171x = 179,859 × 179,859
  4. Step 4: Simplify right side
    81,171x = 32,349,259,881
  5. Step 5: Solve for x
    x = 32,349,259,881/81,171
  6. Step 6: Final answer
    x = 398,532.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.