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Finding the Third Proportional to 20,568 and 43,188

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Solution

The third proportional to 20,568 and 43,188 is: 90,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568 : 43,188 = 43,188 : x
  2. Step 2: Convert to fraction form
    20,568/43,188 = 43,188/x
  3. Step 3: Cross multiply
    20,568x = 43,188 × 43,188
  4. Step 4: Simplify right side
    20,568x = 1,865,203,344
  5. Step 5: Solve for x
    x = 1,865,203,344/20,568
  6. Step 6: Final answer
    x = 90,684.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.