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Finding the Third Proportional to 33,194 and 50,803

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Solution

The third proportional to 33,194 and 50,803 is: 77,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,194 : 50,803 = 50,803 : x
  2. Step 2: Convert to fraction form
    33,194/50,803 = 50,803/x
  3. Step 3: Cross multiply
    33,194x = 50,803 × 50,803
  4. Step 4: Simplify right side
    33,194x = 2,580,944,809
  5. Step 5: Solve for x
    x = 2,580,944,809/33,194
  6. Step 6: Final answer
    x = 77,753.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.