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Finding the Third Proportional to 100,517 and 136,512

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Solution

The third proportional to 100,517 and 136,512 is: 185,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,517 : 136,512 = 136,512 : x
  2. Step 2: Convert to fraction form
    100,517/136,512 = 136,512/x
  3. Step 3: Cross multiply
    100,517x = 136,512 × 136,512
  4. Step 4: Simplify right side
    100,517x = 18,635,526,144
  5. Step 5: Solve for x
    x = 18,635,526,144/100,517
  6. Step 6: Final answer
    x = 185,396.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.