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Finding the Third Proportional to 3,786.75 and 8,178.47

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Solution

The third proportional to 3,786.75 and 8,178.47 is: 17,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.75 : 8,178.47 = 8,178.47 : x
  2. Step 2: Convert to fraction form
    3,786.75/8,178.47 = 8,178.47/x
  3. Step 3: Cross multiply
    3,786.75x = 8,178.47 × 8,178.47
  4. Step 4: Simplify right side
    3,786.75x = 66,887,351.09
  5. Step 5: Solve for x
    x = 66,887,351.09/3,786.75
  6. Step 6: Final answer
    x = 17,663.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.