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Finding the Third Proportional to 33,619 and 70,631

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Solution

The third proportional to 33,619 and 70,631 is: 148,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,619 : 70,631 = 70,631 : x
  2. Step 2: Convert to fraction form
    33,619/70,631 = 70,631/x
  3. Step 3: Cross multiply
    33,619x = 70,631 × 70,631
  4. Step 4: Simplify right side
    33,619x = 4,988,738,161
  5. Step 5: Solve for x
    x = 4,988,738,161/33,619
  6. Step 6: Final answer
    x = 148,390.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.