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Finding the Third Proportional to 8,318.32 and 18,019.97

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Solution

The third proportional to 8,318.32 and 18,019.97 is: 39,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.32 : 18,019.97 = 18,019.97 : x
  2. Step 2: Convert to fraction form
    8,318.32/18,019.97 = 18,019.97/x
  3. Step 3: Cross multiply
    8,318.32x = 18,019.97 × 18,019.97
  4. Step 4: Simplify right side
    8,318.32x = 324,719,273.75
  5. Step 5: Solve for x
    x = 324,719,273.75/8,318.32
  6. Step 6: Final answer
    x = 39,036.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.