Home / 33-84

Finding the Third Proportional to 33 and 84

Calculator

Solution

The third proportional to 33 and 84 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 84 = 84 : x
  2. Step 2: Convert to fraction form
    33/84 = 84/x
  3. Step 3: Cross multiply
    33x = 84 × 84
  4. Step 4: Simplify right side
    33x = 7,056
  5. Step 5: Solve for x
    x = 7,056/33
  6. Step 6: Final answer
    x = 213.82

Related Problems

Find third proportional to 16.50 and 42
Half scale
Find third proportional to 66 and 168
Double scale
Find third proportional to 35 and 89
Similar ratio
Find third proportional to 49.50 and 126
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.