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Finding the Third Proportional to 3,936 and 5,197.50

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Solution

The third proportional to 3,936 and 5,197.50 is: 6,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936 : 5,197.50 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    3,936/5,197.50 = 5,197.50/x
  3. Step 3: Cross multiply
    3,936x = 5,197.50 × 5,197.50
  4. Step 4: Simplify right side
    3,936x = 27,014,006.25
  5. Step 5: Solve for x
    x = 27,014,006.25/3,936
  6. Step 6: Final answer
    x = 6,863.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.