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Finding the Third Proportional to 33,253 and 49,880

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Solution

The third proportional to 33,253 and 49,880 is: 74,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253 : 49,880 = 49,880 : x
  2. Step 2: Convert to fraction form
    33,253/49,880 = 49,880/x
  3. Step 3: Cross multiply
    33,253x = 49,880 × 49,880
  4. Step 4: Simplify right side
    33,253x = 2,488,014,400
  5. Step 5: Solve for x
    x = 2,488,014,400/33,253
  6. Step 6: Final answer
    x = 74,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.