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Finding the Third Proportional to 33,736 and 73,712

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Solution

The third proportional to 33,736 and 73,712 is: 161,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,736 : 73,712 = 73,712 : x
  2. Step 2: Convert to fraction form
    33,736/73,712 = 73,712/x
  3. Step 3: Cross multiply
    33,736x = 73,712 × 73,712
  4. Step 4: Simplify right side
    33,736x = 5,433,458,944
  5. Step 5: Solve for x
    x = 5,433,458,944/33,736
  6. Step 6: Final answer
    x = 161,058.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.