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Finding the Third Proportional to 81,908.25 and 179,877

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Solution

The third proportional to 81,908.25 and 179,877 is: 395,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,908.25 : 179,877 = 179,877 : x
  2. Step 2: Convert to fraction form
    81,908.25/179,877 = 179,877/x
  3. Step 3: Cross multiply
    81,908.25x = 179,877 × 179,877
  4. Step 4: Simplify right side
    81,908.25x = 32,355,735,129
  5. Step 5: Solve for x
    x = 32,355,735,129/81,908.25
  6. Step 6: Final answer
    x = 395,024.13

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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.