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Finding the Third Proportional to 4,121.63 and 6,286.31

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Solution

The third proportional to 4,121.63 and 6,286.31 is: 9,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.63 : 6,286.31 = 6,286.31 : x
  2. Step 2: Convert to fraction form
    4,121.63/6,286.31 = 6,286.31/x
  3. Step 3: Cross multiply
    4,121.63x = 6,286.31 × 6,286.31
  4. Step 4: Simplify right side
    4,121.63x = 39,517,724.85
  5. Step 5: Solve for x
    x = 39,517,724.85/4,121.63
  6. Step 6: Final answer
    x = 9,587.90

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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.