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Finding the Third Proportional to 5,169.45 and 7,755.12

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Solution

The third proportional to 5,169.45 and 7,755.12 is: 11,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.45 : 7,755.12 = 7,755.12 : x
  2. Step 2: Convert to fraction form
    5,169.45/7,755.12 = 7,755.12/x
  3. Step 3: Cross multiply
    5,169.45x = 7,755.12 × 7,755.12
  4. Step 4: Simplify right side
    5,169.45x = 60,141,842.59
  5. Step 5: Solve for x
    x = 60,141,842.59/5,169.45
  6. Step 6: Final answer
    x = 11,634.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.