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Finding the Third Proportional to 12,212 and 18,491

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Solution

The third proportional to 12,212 and 18,491 is: 27,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212 : 18,491 = 18,491 : x
  2. Step 2: Convert to fraction form
    12,212/18,491 = 18,491/x
  3. Step 3: Cross multiply
    12,212x = 18,491 × 18,491
  4. Step 4: Simplify right side
    12,212x = 341,917,081
  5. Step 5: Solve for x
    x = 341,917,081/12,212
  6. Step 6: Final answer
    x = 27,998.45

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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.