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Finding the Third Proportional to 33,142 and 50,196

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Solution

The third proportional to 33,142 and 50,196 is: 76,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142 : 50,196 = 50,196 : x
  2. Step 2: Convert to fraction form
    33,142/50,196 = 50,196/x
  3. Step 3: Cross multiply
    33,142x = 50,196 × 50,196
  4. Step 4: Simplify right side
    33,142x = 2,519,638,416
  5. Step 5: Solve for x
    x = 2,519,638,416/33,142
  6. Step 6: Final answer
    x = 76,025.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.