Home / 108-144

Finding the Third Proportional to 108 and 144

Calculator

Solution

The third proportional to 108 and 144 is: 192

Step by Step Solution

  1. Step 1: Write the proportion equation
    108 : 144 = 144 : x
  2. Step 2: Convert to fraction form
    108/144 = 144/x
  3. Step 3: Cross multiply
    108x = 144 × 144
  4. Step 4: Simplify right side
    108x = 20,736
  5. Step 5: Solve for x
    x = 20,736/108
  6. Step 6: Final answer
    x = 192

Related Problems

Find third proportional to 54 and 72
Half scale
Find third proportional to 216 and 288
Double scale
Find third proportional to 110 and 147
Similar ratio
Find third proportional to 162 and 216
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.