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Finding the Third Proportional to 81,398 and 167,668

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Solution

The third proportional to 81,398 and 167,668 is: 345,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398 : 167,668 = 167,668 : x
  2. Step 2: Convert to fraction form
    81,398/167,668 = 167,668/x
  3. Step 3: Cross multiply
    81,398x = 167,668 × 167,668
  4. Step 4: Simplify right side
    81,398x = 28,112,558,224
  5. Step 5: Solve for x
    x = 28,112,558,224/81,398
  6. Step 6: Final answer
    x = 345,371.61

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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.