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Finding the Third Proportional to 33,586 and 70,619

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Solution

The third proportional to 33,586 and 70,619 is: 148,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586 : 70,619 = 70,619 : x
  2. Step 2: Convert to fraction form
    33,586/70,619 = 70,619/x
  3. Step 3: Cross multiply
    33,586x = 70,619 × 70,619
  4. Step 4: Simplify right side
    33,586x = 4,987,043,161
  5. Step 5: Solve for x
    x = 4,987,043,161/33,586
  6. Step 6: Final answer
    x = 148,485.77

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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.