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Finding the Third Proportional to 81,738 and 167,564

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Solution

The third proportional to 81,738 and 167,564 is: 343,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,738 : 167,564 = 167,564 : x
  2. Step 2: Convert to fraction form
    81,738/167,564 = 167,564/x
  3. Step 3: Cross multiply
    81,738x = 167,564 × 167,564
  4. Step 4: Simplify right side
    81,738x = 28,077,694,096
  5. Step 5: Solve for x
    x = 28,077,694,096/81,738
  6. Step 6: Final answer
    x = 343,508.46

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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.