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Finding the Third Proportional to 7,769.81 and 11,998.69

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Solution

The third proportional to 7,769.81 and 11,998.69 is: 18,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.81 : 11,998.69 = 11,998.69 : x
  2. Step 2: Convert to fraction form
    7,769.81/11,998.69 = 11,998.69/x
  3. Step 3: Cross multiply
    7,769.81x = 11,998.69 × 11,998.69
  4. Step 4: Simplify right side
    7,769.81x = 143,968,501.72
  5. Step 5: Solve for x
    x = 143,968,501.72/7,769.81
  6. Step 6: Final answer
    x = 18,529.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.