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Finding the Third Proportional to 12,126 and 18,357

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Solution

The third proportional to 12,126 and 18,357 is: 27,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126 : 18,357 = 18,357 : x
  2. Step 2: Convert to fraction form
    12,126/18,357 = 18,357/x
  3. Step 3: Cross multiply
    12,126x = 18,357 × 18,357
  4. Step 4: Simplify right side
    12,126x = 336,979,449
  5. Step 5: Solve for x
    x = 336,979,449/12,126
  6. Step 6: Final answer
    x = 27,789.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.