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Finding the Third Proportional to 3,103.69 and 6,344.06

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Solution

The third proportional to 3,103.69 and 6,344.06 is: 12,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.69 : 6,344.06 = 6,344.06 : x
  2. Step 2: Convert to fraction form
    3,103.69/6,344.06 = 6,344.06/x
  3. Step 3: Cross multiply
    3,103.69x = 6,344.06 × 6,344.06
  4. Step 4: Simplify right side
    3,103.69x = 40,247,129.00
  5. Step 5: Solve for x
    x = 40,247,129.00/3,103.69
  6. Step 6: Final answer
    x = 12,967.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.