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Finding the Third Proportional to 33,213 and 71,619

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Solution

The third proportional to 33,213 and 71,619 is: 154,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213 : 71,619 = 71,619 : x
  2. Step 2: Convert to fraction form
    33,213/71,619 = 71,619/x
  3. Step 3: Cross multiply
    33,213x = 71,619 × 71,619
  4. Step 4: Simplify right side
    33,213x = 5,129,281,161
  5. Step 5: Solve for x
    x = 5,129,281,161/33,213
  6. Step 6: Final answer
    x = 154,435.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.