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Finding the Third Proportional to 7,669.69 and 11,910.80

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Solution

The third proportional to 7,669.69 and 11,910.80 is: 18,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 11,910.80 = 11,910.80 : x
  2. Step 2: Convert to fraction form
    7,669.69/11,910.80 = 11,910.80/x
  3. Step 3: Cross multiply
    7,669.69x = 11,910.80 × 11,910.80
  4. Step 4: Simplify right side
    7,669.69x = 141,867,082.20
  5. Step 5: Solve for x
    x = 141,867,082.20/7,669.69
  6. Step 6: Final answer
    x = 18,497.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.