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Finding the Third Proportional to 3,198.80 and 6,878.74

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Solution

The third proportional to 3,198.80 and 6,878.74 is: 14,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.80 : 6,878.74 = 6,878.74 : x
  2. Step 2: Convert to fraction form
    3,198.80/6,878.74 = 6,878.74/x
  3. Step 3: Cross multiply
    3,198.80x = 6,878.74 × 6,878.74
  4. Step 4: Simplify right side
    3,198.80x = 47,317,094.08
  5. Step 5: Solve for x
    x = 47,317,094.08/3,198.80
  6. Step 6: Final answer
    x = 14,792.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.