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Finding the Third Proportional to 33,746 and 51,027

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Solution

The third proportional to 33,746 and 51,027 is: 77,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,746 : 51,027 = 51,027 : x
  2. Step 2: Convert to fraction form
    33,746/51,027 = 51,027/x
  3. Step 3: Cross multiply
    33,746x = 51,027 × 51,027
  4. Step 4: Simplify right side
    33,746x = 2,603,754,729
  5. Step 5: Solve for x
    x = 2,603,754,729/33,746
  6. Step 6: Final answer
    x = 77,157.43

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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.