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Finding the Third Proportional to 81,966 and 180,009

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Solution

The third proportional to 81,966 and 180,009 is: 395,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966 : 180,009 = 180,009 : x
  2. Step 2: Convert to fraction form
    81,966/180,009 = 180,009/x
  3. Step 3: Cross multiply
    81,966x = 180,009 × 180,009
  4. Step 4: Simplify right side
    81,966x = 32,403,240,081
  5. Step 5: Solve for x
    x = 32,403,240,081/81,966
  6. Step 6: Final answer
    x = 395,325.38

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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.