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Finding the Third Proportional to 3,996.84 and 6,255.98

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Solution

The third proportional to 3,996.84 and 6,255.98 is: 9,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.84 : 6,255.98 = 6,255.98 : x
  2. Step 2: Convert to fraction form
    3,996.84/6,255.98 = 6,255.98/x
  3. Step 3: Cross multiply
    3,996.84x = 6,255.98 × 6,255.98
  4. Step 4: Simplify right side
    3,996.84x = 39,137,340.50
  5. Step 5: Solve for x
    x = 39,137,340.50/3,996.84
  6. Step 6: Final answer
    x = 9,792.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.