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Finding the Third Proportional to 33,629 and 52,038

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Solution

The third proportional to 33,629 and 52,038 is: 80,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,629 : 52,038 = 52,038 : x
  2. Step 2: Convert to fraction form
    33,629/52,038 = 52,038/x
  3. Step 3: Cross multiply
    33,629x = 52,038 × 52,038
  4. Step 4: Simplify right side
    33,629x = 2,707,953,444
  5. Step 5: Solve for x
    x = 2,707,953,444/33,629
  6. Step 6: Final answer
    x = 80,524.35

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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.