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Finding the Third Proportional to 5,121.98 and 11,202.05

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Solution

The third proportional to 5,121.98 and 11,202.05 is: 24,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.98 : 11,202.05 = 11,202.05 : x
  2. Step 2: Convert to fraction form
    5,121.98/11,202.05 = 11,202.05/x
  3. Step 3: Cross multiply
    5,121.98x = 11,202.05 × 11,202.05
  4. Step 4: Simplify right side
    5,121.98x = 125,485,854.19
  5. Step 5: Solve for x
    x = 125,485,854.19/5,121.98
  6. Step 6: Final answer
    x = 24,499.46

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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.