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Finding the Third Proportional to 33,030 and 73,626.75

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Solution

The third proportional to 33,030 and 73,626.75 is: 164,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030 : 73,626.75 = 73,626.75 : x
  2. Step 2: Convert to fraction form
    33,030/73,626.75 = 73,626.75/x
  3. Step 3: Cross multiply
    33,030x = 73,626.75 × 73,626.75
  4. Step 4: Simplify right side
    33,030x = 5,420,898,315.56
  5. Step 5: Solve for x
    x = 5,420,898,315.56/33,030
  6. Step 6: Final answer
    x = 164,120.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.