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Finding the Third Proportional to 9,190.97 and 20,133.56

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Solution

The third proportional to 9,190.97 and 20,133.56 is: 44,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.97 : 20,133.56 = 20,133.56 : x
  2. Step 2: Convert to fraction form
    9,190.97/20,133.56 = 20,133.56/x
  3. Step 3: Cross multiply
    9,190.97x = 20,133.56 × 20,133.56
  4. Step 4: Simplify right side
    9,190.97x = 405,360,338.94
  5. Step 5: Solve for x
    x = 405,360,338.94/9,190.97
  6. Step 6: Final answer
    x = 44,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.