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Finding the Third Proportional to 81,168.75 and 179,857.13

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Solution

The third proportional to 81,168.75 and 179,857.13 is: 398,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,168.75 : 179,857.13 = 179,857.13 : x
  2. Step 2: Convert to fraction form
    81,168.75/179,857.13 = 179,857.13/x
  3. Step 3: Cross multiply
    81,168.75x = 179,857.13 × 179,857.13
  4. Step 4: Simplify right side
    81,168.75x = 32,348,585,413.27
  5. Step 5: Solve for x
    x = 32,348,585,413.27/81,168.75
  6. Step 6: Final answer
    x = 398,534.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.