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Finding the Third Proportional to 50,686 and 78,675

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Solution

The third proportional to 50,686 and 78,675 is: 122,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,686 : 78,675 = 78,675 : x
  2. Step 2: Convert to fraction form
    50,686/78,675 = 78,675/x
  3. Step 3: Cross multiply
    50,686x = 78,675 × 78,675
  4. Step 4: Simplify right side
    50,686x = 6,189,755,625
  5. Step 5: Solve for x
    x = 6,189,755,625/50,686
  6. Step 6: Final answer
    x = 122,119.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.