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Finding the Third Proportional to 50,722 and 78,269

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Solution

The third proportional to 50,722 and 78,269 is: 120,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722 : 78,269 = 78,269 : x
  2. Step 2: Convert to fraction form
    50,722/78,269 = 78,269/x
  3. Step 3: Cross multiply
    50,722x = 78,269 × 78,269
  4. Step 4: Simplify right side
    50,722x = 6,126,036,361
  5. Step 5: Solve for x
    x = 6,126,036,361/50,722
  6. Step 6: Final answer
    x = 120,776.71

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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.