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Finding the Third Proportional to 81,781 and 168,664

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Solution

The third proportional to 81,781 and 168,664 is: 347,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,781 : 168,664 = 168,664 : x
  2. Step 2: Convert to fraction form
    81,781/168,664 = 168,664/x
  3. Step 3: Cross multiply
    81,781x = 168,664 × 168,664
  4. Step 4: Simplify right side
    81,781x = 28,447,544,896
  5. Step 5: Solve for x
    x = 28,447,544,896/81,781
  6. Step 6: Final answer
    x = 347,850.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.