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Finding the Third Proportional to 3,387.45 and 8,159.48

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Solution

The third proportional to 3,387.45 and 8,159.48 is: 19,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.45 : 8,159.48 = 8,159.48 : x
  2. Step 2: Convert to fraction form
    3,387.45/8,159.48 = 8,159.48/x
  3. Step 3: Cross multiply
    3,387.45x = 8,159.48 × 8,159.48
  4. Step 4: Simplify right side
    3,387.45x = 66,577,185.27
  5. Step 5: Solve for x
    x = 66,577,185.27/3,387.45
  6. Step 6: Final answer
    x = 19,654.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.