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Finding the Third Proportional to 81,365 and 166,694

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Solution

The third proportional to 81,365 and 166,694 is: 341,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365 : 166,694 = 166,694 : x
  2. Step 2: Convert to fraction form
    81,365/166,694 = 166,694/x
  3. Step 3: Cross multiply
    81,365x = 166,694 × 166,694
  4. Step 4: Simplify right side
    81,365x = 27,786,889,636
  5. Step 5: Solve for x
    x = 27,786,889,636/81,365
  6. Step 6: Final answer
    x = 341,509.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.