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Finding the Third Proportional to 20,305.69 and 31,380.75

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Solution

The third proportional to 20,305.69 and 31,380.75 is: 48,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.69 : 31,380.75 = 31,380.75 : x
  2. Step 2: Convert to fraction form
    20,305.69/31,380.75 = 31,380.75/x
  3. Step 3: Cross multiply
    20,305.69x = 31,380.75 × 31,380.75
  4. Step 4: Simplify right side
    20,305.69x = 984,751,470.56
  5. Step 5: Solve for x
    x = 984,751,470.56/20,305.69
  6. Step 6: Final answer
    x = 48,496.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.