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Finding the Third Proportional to 4,414.50 and 11,940.75

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Solution

The third proportional to 4,414.50 and 11,940.75 is: 32,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.50 : 11,940.75 = 11,940.75 : x
  2. Step 2: Convert to fraction form
    4,414.50/11,940.75 = 11,940.75/x
  3. Step 3: Cross multiply
    4,414.50x = 11,940.75 × 11,940.75
  4. Step 4: Simplify right side
    4,414.50x = 142,581,510.56
  5. Step 5: Solve for x
    x = 142,581,510.56/4,414.50
  6. Step 6: Final answer
    x = 32,298.45

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.