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Finding the Third Proportional to 33,752 and 73,858

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Solution

The third proportional to 33,752 and 73,858 is: 161,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752 : 73,858 = 73,858 : x
  2. Step 2: Convert to fraction form
    33,752/73,858 = 73,858/x
  3. Step 3: Cross multiply
    33,752x = 73,858 × 73,858
  4. Step 4: Simplify right side
    33,752x = 5,455,004,164
  5. Step 5: Solve for x
    x = 5,455,004,164/33,752
  6. Step 6: Final answer
    x = 161,620.18

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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.