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Finding the Third Proportional to 22,692 and 33,388

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Solution

The third proportional to 22,692 and 33,388 is: 49,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692 : 33,388 = 33,388 : x
  2. Step 2: Convert to fraction form
    22,692/33,388 = 33,388/x
  3. Step 3: Cross multiply
    22,692x = 33,388 × 33,388
  4. Step 4: Simplify right side
    22,692x = 1,114,758,544
  5. Step 5: Solve for x
    x = 1,114,758,544/22,692
  6. Step 6: Final answer
    x = 49,125.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.