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Finding the Third Proportional to 81,879 and 178,983

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Solution

The third proportional to 81,879 and 178,983 is: 391,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,879 : 178,983 = 178,983 : x
  2. Step 2: Convert to fraction form
    81,879/178,983 = 178,983/x
  3. Step 3: Cross multiply
    81,879x = 178,983 × 178,983
  4. Step 4: Simplify right side
    81,879x = 32,034,914,289
  5. Step 5: Solve for x
    x = 32,034,914,289/81,879
  6. Step 6: Final answer
    x = 391,247.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.