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Finding the Third Proportional to 81,702 and 179,442

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Solution

The third proportional to 81,702 and 179,442 is: 394,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702 : 179,442 = 179,442 : x
  2. Step 2: Convert to fraction form
    81,702/179,442 = 179,442/x
  3. Step 3: Cross multiply
    81,702x = 179,442 × 179,442
  4. Step 4: Simplify right side
    81,702x = 32,199,431,364
  5. Step 5: Solve for x
    x = 32,199,431,364/81,702
  6. Step 6: Final answer
    x = 394,108.24

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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.