Home / 60-120

Finding the Third Proportional to 60 and 120

Calculator

Solution

The third proportional to 60 and 120 is: 240

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 120 = 120 : x
  2. Step 2: Convert to fraction form
    60/120 = 120/x
  3. Step 3: Cross multiply
    60x = 120 × 120
  4. Step 4: Simplify right side
    60x = 14,400
  5. Step 5: Solve for x
    x = 14,400/60
  6. Step 6: Final answer
    x = 240

Related Problems

Find third proportional to 30 and 60
Half scale
Find third proportional to 120 and 240
Double scale
Find third proportional to 62 and 124
Similar ratio
Find third proportional to 90 and 180
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.