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Finding the Third Proportional to 81,642 and 167,676

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Solution

The third proportional to 81,642 and 167,676 is: 344,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642 : 167,676 = 167,676 : x
  2. Step 2: Convert to fraction form
    81,642/167,676 = 167,676/x
  3. Step 3: Cross multiply
    81,642x = 167,676 × 167,676
  4. Step 4: Simplify right side
    81,642x = 28,115,240,976
  5. Step 5: Solve for x
    x = 28,115,240,976/81,642
  6. Step 6: Final answer
    x = 344,372.27

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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.