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Finding the Third Proportional to 77,992 and 159,678

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Solution

The third proportional to 77,992 and 159,678 is: 326,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992 : 159,678 = 159,678 : x
  2. Step 2: Convert to fraction form
    77,992/159,678 = 159,678/x
  3. Step 3: Cross multiply
    77,992x = 159,678 × 159,678
  4. Step 4: Simplify right side
    77,992x = 25,497,063,684
  5. Step 5: Solve for x
    x = 25,497,063,684/77,992
  6. Step 6: Final answer
    x = 326,918.96

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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.