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Finding the Third Proportional to 33,888 and 52,425

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Solution

The third proportional to 33,888 and 52,425 is: 81,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,888 : 52,425 = 52,425 : x
  2. Step 2: Convert to fraction form
    33,888/52,425 = 52,425/x
  3. Step 3: Cross multiply
    33,888x = 52,425 × 52,425
  4. Step 4: Simplify right side
    33,888x = 2,748,380,625
  5. Step 5: Solve for x
    x = 2,748,380,625/33,888
  6. Step 6: Final answer
    x = 81,101.88

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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.