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Finding the Third Proportional to 100,136.25 and 133,761.38

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Solution

The third proportional to 100,136.25 and 133,761.38 is: 178,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,136.25 : 133,761.38 = 133,761.38 : x
  2. Step 2: Convert to fraction form
    100,136.25/133,761.38 = 133,761.38/x
  3. Step 3: Cross multiply
    100,136.25x = 133,761.38 × 133,761.38
  4. Step 4: Simplify right side
    100,136.25x = 17,892,105,441.89
  5. Step 5: Solve for x
    x = 17,892,105,441.89/100,136.25
  6. Step 6: Final answer
    x = 178,677.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.