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Finding the Third Proportional to 33,742 and 73,840

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Solution

The third proportional to 33,742 and 73,840 is: 161,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742 : 73,840 = 73,840 : x
  2. Step 2: Convert to fraction form
    33,742/73,840 = 73,840/x
  3. Step 3: Cross multiply
    33,742x = 73,840 × 73,840
  4. Step 4: Simplify right side
    33,742x = 5,452,345,600
  5. Step 5: Solve for x
    x = 5,452,345,600/33,742
  6. Step 6: Final answer
    x = 161,589.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.