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Finding the Third Proportional to 81,566 and 179,690

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Solution

The third proportional to 81,566 and 179,690 is: 395,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,566 : 179,690 = 179,690 : x
  2. Step 2: Convert to fraction form
    81,566/179,690 = 179,690/x
  3. Step 3: Cross multiply
    81,566x = 179,690 × 179,690
  4. Step 4: Simplify right side
    81,566x = 32,288,496,100
  5. Step 5: Solve for x
    x = 32,288,496,100/81,566
  6. Step 6: Final answer
    x = 395,857.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.