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Finding the Third Proportional to 86,811.75 and 131,142.38

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Solution

The third proportional to 86,811.75 and 131,142.38 is: 198,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,811.75 : 131,142.38 = 131,142.38 : x
  2. Step 2: Convert to fraction form
    86,811.75/131,142.38 = 131,142.38/x
  3. Step 3: Cross multiply
    86,811.75x = 131,142.38 × 131,142.38
  4. Step 4: Simplify right side
    86,811.75x = 17,198,322,520.64
  5. Step 5: Solve for x
    x = 17,198,322,520.64/86,811.75
  6. Step 6: Final answer
    x = 198,110.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.