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Finding the Third Proportional to 9,589.38 and 20,511.38

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Solution

The third proportional to 9,589.38 and 20,511.38 is: 43,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.38 : 20,511.38 = 20,511.38 : x
  2. Step 2: Convert to fraction form
    9,589.38/20,511.38 = 20,511.38/x
  3. Step 3: Cross multiply
    9,589.38x = 20,511.38 × 20,511.38
  4. Step 4: Simplify right side
    9,589.38x = 420,716,504.39
  5. Step 5: Solve for x
    x = 420,716,504.39/9,589.38
  6. Step 6: Final answer
    x = 43,873.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.