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Finding the Third Proportional to 33,232 and 73,052

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Solution

The third proportional to 33,232 and 73,052 is: 160,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232 : 73,052 = 73,052 : x
  2. Step 2: Convert to fraction form
    33,232/73,052 = 73,052/x
  3. Step 3: Cross multiply
    33,232x = 73,052 × 73,052
  4. Step 4: Simplify right side
    33,232x = 5,336,594,704
  5. Step 5: Solve for x
    x = 5,336,594,704/33,232
  6. Step 6: Final answer
    x = 160,586.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.