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Finding the Third Proportional to 81,914 and 179,889

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Solution

The third proportional to 81,914 and 179,889 is: 395,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,914 : 179,889 = 179,889 : x
  2. Step 2: Convert to fraction form
    81,914/179,889 = 179,889/x
  3. Step 3: Cross multiply
    81,914x = 179,889 × 179,889
  4. Step 4: Simplify right side
    81,914x = 32,360,052,321
  5. Step 5: Solve for x
    x = 32,360,052,321/81,914
  6. Step 6: Final answer
    x = 395,049.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.