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Finding the Third Proportional to 88,193.25 and 133,110

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Solution

The third proportional to 88,193.25 and 133,110 is: 200,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,193.25 : 133,110 = 133,110 : x
  2. Step 2: Convert to fraction form
    88,193.25/133,110 = 133,110/x
  3. Step 3: Cross multiply
    88,193.25x = 133,110 × 133,110
  4. Step 4: Simplify right side
    88,193.25x = 17,718,272,100
  5. Step 5: Solve for x
    x = 17,718,272,100/88,193.25
  6. Step 6: Final answer
    x = 200,902.81

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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.