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Finding the Third Proportional to 6,129 and 11,616.75

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Solution

The third proportional to 6,129 and 11,616.75 is: 22,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129 : 11,616.75 = 11,616.75 : x
  2. Step 2: Convert to fraction form
    6,129/11,616.75 = 11,616.75/x
  3. Step 3: Cross multiply
    6,129x = 11,616.75 × 11,616.75
  4. Step 4: Simplify right side
    6,129x = 134,948,880.56
  5. Step 5: Solve for x
    x = 134,948,880.56/6,129
  6. Step 6: Final answer
    x = 22,018.09

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.