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Finding the Third Proportional to 87,138 and 134,100

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Solution

The third proportional to 87,138 and 134,100 is: 206,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138 : 134,100 = 134,100 : x
  2. Step 2: Convert to fraction form
    87,138/134,100 = 134,100/x
  3. Step 3: Cross multiply
    87,138x = 134,100 × 134,100
  4. Step 4: Simplify right side
    87,138x = 17,982,810,000
  5. Step 5: Solve for x
    x = 17,982,810,000/87,138
  6. Step 6: Final answer
    x = 206,371.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.