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Finding the Third Proportional to 5,175.14 and 8,198.30

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Solution

The third proportional to 5,175.14 and 8,198.30 is: 12,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.14 : 8,198.30 = 8,198.30 : x
  2. Step 2: Convert to fraction form
    5,175.14/8,198.30 = 8,198.30/x
  3. Step 3: Cross multiply
    5,175.14x = 8,198.30 × 8,198.30
  4. Step 4: Simplify right side
    5,175.14x = 67,212,071.65
  5. Step 5: Solve for x
    x = 67,212,071.65/5,175.14
  6. Step 6: Final answer
    x = 12,987.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.