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Finding the Third Proportional to 82,857 and 131,409.75

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Solution

The third proportional to 82,857 and 131,409.75 is: 208,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857 : 131,409.75 = 131,409.75 : x
  2. Step 2: Convert to fraction form
    82,857/131,409.75 = 131,409.75/x
  3. Step 3: Cross multiply
    82,857x = 131,409.75 × 131,409.75
  4. Step 4: Simplify right side
    82,857x = 17,268,522,395.06
  5. Step 5: Solve for x
    x = 17,268,522,395.06/82,857
  6. Step 6: Final answer
    x = 208,413.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.