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Finding the Third Proportional to 78,891 and 168,991

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Solution

The third proportional to 78,891 and 168,991 is: 361,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,891 : 168,991 = 168,991 : x
  2. Step 2: Convert to fraction form
    78,891/168,991 = 168,991/x
  3. Step 3: Cross multiply
    78,891x = 168,991 × 168,991
  4. Step 4: Simplify right side
    78,891x = 28,557,958,081
  5. Step 5: Solve for x
    x = 28,557,958,081/78,891
  6. Step 6: Final answer
    x = 361,992.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.