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Finding the Third Proportional to 3,199.50 and 7,406.44

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Solution

The third proportional to 3,199.50 and 7,406.44 is: 17,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.50 : 7,406.44 = 7,406.44 : x
  2. Step 2: Convert to fraction form
    3,199.50/7,406.44 = 7,406.44/x
  3. Step 3: Cross multiply
    3,199.50x = 7,406.44 × 7,406.44
  4. Step 4: Simplify right side
    3,199.50x = 54,855,316.44
  5. Step 5: Solve for x
    x = 54,855,316.44/3,199.50
  6. Step 6: Final answer
    x = 17,144.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.