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Finding the Third Proportional to 138,809 and 188,106

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Solution

The third proportional to 138,809 and 188,106 is: 254,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809 : 188,106 = 188,106 : x
  2. Step 2: Convert to fraction form
    138,809/188,106 = 188,106/x
  3. Step 3: Cross multiply
    138,809x = 188,106 × 188,106
  4. Step 4: Simplify right side
    138,809x = 35,383,867,236
  5. Step 5: Solve for x
    x = 35,383,867,236/138,809
  6. Step 6: Final answer
    x = 254,910.47

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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.