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Finding the Third Proportional to 3,865.38 and 8,277.25

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Solution

The third proportional to 3,865.38 and 8,277.25 is: 17,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.38 : 8,277.25 = 8,277.25 : x
  2. Step 2: Convert to fraction form
    3,865.38/8,277.25 = 8,277.25/x
  3. Step 3: Cross multiply
    3,865.38x = 8,277.25 × 8,277.25
  4. Step 4: Simplify right side
    3,865.38x = 68,512,867.56
  5. Step 5: Solve for x
    x = 68,512,867.56/3,865.38
  6. Step 6: Final answer
    x = 17,724.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.