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Finding the Third Proportional to 77,992 and 159,679

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Solution

The third proportional to 77,992 and 159,679 is: 326,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992 : 159,679 = 159,679 : x
  2. Step 2: Convert to fraction form
    77,992/159,679 = 159,679/x
  3. Step 3: Cross multiply
    77,992x = 159,679 × 159,679
  4. Step 4: Simplify right side
    77,992x = 25,497,383,041
  5. Step 5: Solve for x
    x = 25,497,383,041/77,992
  6. Step 6: Final answer
    x = 326,923.06

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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.