Home / 36-84

Finding the Third Proportional to 36 and 84

Calculator

Solution

The third proportional to 36 and 84 is: 196

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 84 = 84 : x
  2. Step 2: Convert to fraction form
    36/84 = 84/x
  3. Step 3: Cross multiply
    36x = 84 × 84
  4. Step 4: Simplify right side
    36x = 7,056
  5. Step 5: Solve for x
    x = 7,056/36
  6. Step 6: Final answer
    x = 196

Related Problems

Find third proportional to 18 and 42
Half scale
Find third proportional to 72 and 168
Double scale
Find third proportional to 38 and 89
Similar ratio
Find third proportional to 54 and 126
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.