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Finding the Third Proportional to 22,088 and 33,232

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Solution

The third proportional to 22,088 and 33,232 is: 49,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,088 : 33,232 = 33,232 : x
  2. Step 2: Convert to fraction form
    22,088/33,232 = 33,232/x
  3. Step 3: Cross multiply
    22,088x = 33,232 × 33,232
  4. Step 4: Simplify right side
    22,088x = 1,104,365,824
  5. Step 5: Solve for x
    x = 1,104,365,824/22,088
  6. Step 6: Final answer
    x = 49,998.45

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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.