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Finding the Third Proportional to 5,202.56 and 11,377.13

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Solution

The third proportional to 5,202.56 and 11,377.13 is: 24,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.56 : 11,377.13 = 11,377.13 : x
  2. Step 2: Convert to fraction form
    5,202.56/11,377.13 = 11,377.13/x
  3. Step 3: Cross multiply
    5,202.56x = 11,377.13 × 11,377.13
  4. Step 4: Simplify right side
    5,202.56x = 129,438,973.27
  5. Step 5: Solve for x
    x = 129,438,973.27/5,202.56
  6. Step 6: Final answer
    x = 24,879.85

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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.