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Finding the Third Proportional to 9,418.78 and 18,564.19

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Solution

The third proportional to 9,418.78 and 18,564.19 is: 36,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.78 : 18,564.19 = 18,564.19 : x
  2. Step 2: Convert to fraction form
    9,418.78/18,564.19 = 18,564.19/x
  3. Step 3: Cross multiply
    9,418.78x = 18,564.19 × 18,564.19
  4. Step 4: Simplify right side
    9,418.78x = 344,629,057.54
  5. Step 5: Solve for x
    x = 344,629,057.54/9,418.78
  6. Step 6: Final answer
    x = 36,589.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.