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Finding the Third Proportional to 5,202.98 and 11,236.85

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Solution

The third proportional to 5,202.98 and 11,236.85 is: 24,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.98 : 11,236.85 = 11,236.85 : x
  2. Step 2: Convert to fraction form
    5,202.98/11,236.85 = 11,236.85/x
  3. Step 3: Cross multiply
    5,202.98x = 11,236.85 × 11,236.85
  4. Step 4: Simplify right side
    5,202.98x = 126,266,833.04
  5. Step 5: Solve for x
    x = 126,266,833.04/5,202.98
  6. Step 6: Final answer
    x = 24,268.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.