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Finding the Third Proportional to 20,443 and 30,208.75

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Solution

The third proportional to 20,443 and 30,208.75 is: 44,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443 : 30,208.75 = 30,208.75 : x
  2. Step 2: Convert to fraction form
    20,443/30,208.75 = 30,208.75/x
  3. Step 3: Cross multiply
    20,443x = 30,208.75 × 30,208.75
  4. Step 4: Simplify right side
    20,443x = 912,568,576.56
  5. Step 5: Solve for x
    x = 912,568,576.56/20,443
  6. Step 6: Final answer
    x = 44,639.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.