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Finding the Third Proportional to 7,750.69 and 12,944.81

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Solution

The third proportional to 7,750.69 and 12,944.81 is: 21,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.69 : 12,944.81 = 12,944.81 : x
  2. Step 2: Convert to fraction form
    7,750.69/12,944.81 = 12,944.81/x
  3. Step 3: Cross multiply
    7,750.69x = 12,944.81 × 12,944.81
  4. Step 4: Simplify right side
    7,750.69x = 167,568,170.66
  5. Step 5: Solve for x
    x = 167,568,170.66/7,750.69
  6. Step 6: Final answer
    x = 21,619.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.