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Finding the Third Proportional to 3,940.50 and 6,013.88

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Solution

The third proportional to 3,940.50 and 6,013.88 is: 9,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.50 : 6,013.88 = 6,013.88 : x
  2. Step 2: Convert to fraction form
    3,940.50/6,013.88 = 6,013.88/x
  3. Step 3: Cross multiply
    3,940.50x = 6,013.88 × 6,013.88
  4. Step 4: Simplify right side
    3,940.50x = 36,166,692.52
  5. Step 5: Solve for x
    x = 36,166,692.52/3,940.50
  6. Step 6: Final answer
    x = 9,178.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.