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Finding the Third Proportional to 33,132 and 70,878

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Solution

The third proportional to 33,132 and 70,878 is: 151,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132 : 70,878 = 70,878 : x
  2. Step 2: Convert to fraction form
    33,132/70,878 = 70,878/x
  3. Step 3: Cross multiply
    33,132x = 70,878 × 70,878
  4. Step 4: Simplify right side
    33,132x = 5,023,690,884
  5. Step 5: Solve for x
    x = 5,023,690,884/33,132
  6. Step 6: Final answer
    x = 151,626.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.