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Finding the Third Proportional to 77,864 and 159,616

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Solution

The third proportional to 77,864 and 159,616 is: 327,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864 : 159,616 = 159,616 : x
  2. Step 2: Convert to fraction form
    77,864/159,616 = 159,616/x
  3. Step 3: Cross multiply
    77,864x = 159,616 × 159,616
  4. Step 4: Simplify right side
    77,864x = 25,477,267,456
  5. Step 5: Solve for x
    x = 25,477,267,456/77,864
  6. Step 6: Final answer
    x = 327,202.14

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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.