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Finding the Third Proportional to 6,199.75 and 12,729.50

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Solution

The third proportional to 6,199.75 and 12,729.50 is: 26,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.75 : 12,729.50 = 12,729.50 : x
  2. Step 2: Convert to fraction form
    6,199.75/12,729.50 = 12,729.50/x
  3. Step 3: Cross multiply
    6,199.75x = 12,729.50 × 12,729.50
  4. Step 4: Simplify right side
    6,199.75x = 162,040,170.25
  5. Step 5: Solve for x
    x = 162,040,170.25/6,199.75
  6. Step 6: Final answer
    x = 26,136.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.