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Finding the Third Proportional to 3,615.75 and 5,286.38

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Solution

The third proportional to 3,615.75 and 5,286.38 is: 7,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.75 : 5,286.38 = 5,286.38 : x
  2. Step 2: Convert to fraction form
    3,615.75/5,286.38 = 5,286.38/x
  3. Step 3: Cross multiply
    3,615.75x = 5,286.38 × 5,286.38
  4. Step 4: Simplify right side
    3,615.75x = 27,945,760.64
  5. Step 5: Solve for x
    x = 27,945,760.64/3,615.75
  6. Step 6: Final answer
    x = 7,728.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.