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Finding the Third Proportional to 45,909 and 95,940.75

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Solution

The third proportional to 45,909 and 95,940.75 is: 200,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,909 : 95,940.75 = 95,940.75 : x
  2. Step 2: Convert to fraction form
    45,909/95,940.75 = 95,940.75/x
  3. Step 3: Cross multiply
    45,909x = 95,940.75 × 95,940.75
  4. Step 4: Simplify right side
    45,909x = 9,204,627,510.56
  5. Step 5: Solve for x
    x = 9,204,627,510.56/45,909
  6. Step 6: Final answer
    x = 200,497.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.