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Finding the Third Proportional to 32,962 and 73,043

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Solution

The third proportional to 32,962 and 73,043 is: 161,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962 : 73,043 = 73,043 : x
  2. Step 2: Convert to fraction form
    32,962/73,043 = 73,043/x
  3. Step 3: Cross multiply
    32,962x = 73,043 × 73,043
  4. Step 4: Simplify right side
    32,962x = 5,335,279,849
  5. Step 5: Solve for x
    x = 5,335,279,849/32,962
  6. Step 6: Final answer
    x = 161,861.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.