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Finding the Third Proportional to 7,644.38 and 11,982.94

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Solution

The third proportional to 7,644.38 and 11,982.94 is: 18,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.38 : 11,982.94 = 11,982.94 : x
  2. Step 2: Convert to fraction form
    7,644.38/11,982.94 = 11,982.94/x
  3. Step 3: Cross multiply
    7,644.38x = 11,982.94 × 11,982.94
  4. Step 4: Simplify right side
    7,644.38x = 143,590,791.13
  5. Step 5: Solve for x
    x = 143,590,791.13/7,644.38
  6. Step 6: Final answer
    x = 18,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.