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Finding the Third Proportional to 4,168.97 and 9,256.78

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Solution

The third proportional to 4,168.97 and 9,256.78 is: 20,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.97 : 9,256.78 = 9,256.78 : x
  2. Step 2: Convert to fraction form
    4,168.97/9,256.78 = 9,256.78/x
  3. Step 3: Cross multiply
    4,168.97x = 9,256.78 × 9,256.78
  4. Step 4: Simplify right side
    4,168.97x = 85,687,999.11
  5. Step 5: Solve for x
    x = 85,687,999.11/4,168.97
  6. Step 6: Final answer
    x = 20,553.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.