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Finding the Third Proportional to 6,690.38 and 11,910.94

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Solution

The third proportional to 6,690.38 and 11,910.94 is: 21,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.38 : 11,910.94 = 11,910.94 : x
  2. Step 2: Convert to fraction form
    6,690.38/11,910.94 = 11,910.94/x
  3. Step 3: Cross multiply
    6,690.38x = 11,910.94 × 11,910.94
  4. Step 4: Simplify right side
    6,690.38x = 141,870,432.13
  5. Step 5: Solve for x
    x = 141,870,432.13/6,690.38
  6. Step 6: Final answer
    x = 21,205.15

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.