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Finding the Third Proportional to 10,131.75 and 11,211.75

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Solution

The third proportional to 10,131.75 and 11,211.75 is: 12,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.75 : 11,211.75 = 11,211.75 : x
  2. Step 2: Convert to fraction form
    10,131.75/11,211.75 = 11,211.75/x
  3. Step 3: Cross multiply
    10,131.75x = 11,211.75 × 11,211.75
  4. Step 4: Simplify right side
    10,131.75x = 125,703,338.06
  5. Step 5: Solve for x
    x = 125,703,338.06/10,131.75
  6. Step 6: Final answer
    x = 12,406.87

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.