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Finding the Third Proportional to 3,083.06 and 6,550.88

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Solution

The third proportional to 3,083.06 and 6,550.88 is: 13,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.06 : 6,550.88 = 6,550.88 : x
  2. Step 2: Convert to fraction form
    3,083.06/6,550.88 = 6,550.88/x
  3. Step 3: Cross multiply
    3,083.06x = 6,550.88 × 6,550.88
  4. Step 4: Simplify right side
    3,083.06x = 42,913,963.27
  5. Step 5: Solve for x
    x = 42,913,963.27/3,083.06
  6. Step 6: Final answer
    x = 13,919.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.