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Finding the Third Proportional to 22,406 and 33,098

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Solution

The third proportional to 22,406 and 33,098 is: 48,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406 : 33,098 = 33,098 : x
  2. Step 2: Convert to fraction form
    22,406/33,098 = 33,098/x
  3. Step 3: Cross multiply
    22,406x = 33,098 × 33,098
  4. Step 4: Simplify right side
    22,406x = 1,095,477,604
  5. Step 5: Solve for x
    x = 1,095,477,604/22,406
  6. Step 6: Final answer
    x = 48,892.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.