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Finding the Third Proportional to 22,192 and 33,196

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Solution

The third proportional to 22,192 and 33,196 is: 49,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192 : 33,196 = 33,196 : x
  2. Step 2: Convert to fraction form
    22,192/33,196 = 33,196/x
  3. Step 3: Cross multiply
    22,192x = 33,196 × 33,196
  4. Step 4: Simplify right side
    22,192x = 1,101,974,416
  5. Step 5: Solve for x
    x = 1,101,974,416/22,192
  6. Step 6: Final answer
    x = 49,656.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.