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Finding the Third Proportional to 43,100.75 and 91,384.75

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Solution

The third proportional to 43,100.75 and 91,384.75 is: 193,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,100.75 : 91,384.75 = 91,384.75 : x
  2. Step 2: Convert to fraction form
    43,100.75/91,384.75 = 91,384.75/x
  3. Step 3: Cross multiply
    43,100.75x = 91,384.75 × 91,384.75
  4. Step 4: Simplify right side
    43,100.75x = 8,351,172,532.56
  5. Step 5: Solve for x
    x = 8,351,172,532.56/43,100.75
  6. Step 6: Final answer
    x = 193,759.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.