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Finding the Third Proportional to 37,761 and 77,163

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Solution

The third proportional to 37,761 and 77,163 is: 157,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761 : 77,163 = 77,163 : x
  2. Step 2: Convert to fraction form
    37,761/77,163 = 77,163/x
  3. Step 3: Cross multiply
    37,761x = 77,163 × 77,163
  4. Step 4: Simplify right side
    37,761x = 5,954,128,569
  5. Step 5: Solve for x
    x = 5,954,128,569/37,761
  6. Step 6: Final answer
    x = 157,679.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.