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Finding the Third Proportional to 3,892.39 and 8,563.26

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Solution

The third proportional to 3,892.39 and 8,563.26 is: 18,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.39 : 8,563.26 = 8,563.26 : x
  2. Step 2: Convert to fraction form
    3,892.39/8,563.26 = 8,563.26/x
  3. Step 3: Cross multiply
    3,892.39x = 8,563.26 × 8,563.26
  4. Step 4: Simplify right side
    3,892.39x = 73,329,392.73
  5. Step 5: Solve for x
    x = 73,329,392.73/3,892.39
  6. Step 6: Final answer
    x = 18,839.17

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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.