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Finding the Third Proportional to 138,761 and 208,161

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Solution

The third proportional to 138,761 and 208,161 is: 312,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761 : 208,161 = 208,161 : x
  2. Step 2: Convert to fraction form
    138,761/208,161 = 208,161/x
  3. Step 3: Cross multiply
    138,761x = 208,161 × 208,161
  4. Step 4: Simplify right side
    138,761x = 43,331,001,921
  5. Step 5: Solve for x
    x = 43,331,001,921/138,761
  6. Step 6: Final answer
    x = 312,270.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.