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Finding the Third Proportional to 3,728.53 and 6,078.80

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Solution

The third proportional to 3,728.53 and 6,078.80 is: 9,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.53 : 6,078.80 = 6,078.80 : x
  2. Step 2: Convert to fraction form
    3,728.53/6,078.80 = 6,078.80/x
  3. Step 3: Cross multiply
    3,728.53x = 6,078.80 × 6,078.80
  4. Step 4: Simplify right side
    3,728.53x = 36,951,771.45
  5. Step 5: Solve for x
    x = 36,951,771.45/3,728.53
  6. Step 6: Final answer
    x = 9,910.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.