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Finding the Third Proportional to 8,380.75 and 18,435.50

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Solution

The third proportional to 8,380.75 and 18,435.50 is: 40,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.75 : 18,435.50 = 18,435.50 : x
  2. Step 2: Convert to fraction form
    8,380.75/18,435.50 = 18,435.50/x
  3. Step 3: Cross multiply
    8,380.75x = 18,435.50 × 18,435.50
  4. Step 4: Simplify right side
    8,380.75x = 339,867,660.25
  5. Step 5: Solve for x
    x = 339,867,660.25/8,380.75
  6. Step 6: Final answer
    x = 40,553.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.