Home / 54-120

Finding the Third Proportional to 54 and 120

Calculator

Solution

The third proportional to 54 and 120 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 120 = 120 : x
  2. Step 2: Convert to fraction form
    54/120 = 120/x
  3. Step 3: Cross multiply
    54x = 120 × 120
  4. Step 4: Simplify right side
    54x = 14,400
  5. Step 5: Solve for x
    x = 14,400/54
  6. Step 6: Final answer
    x = 266.67

Related Problems

Find third proportional to 27 and 60
Half scale
Find third proportional to 108 and 240
Double scale
Find third proportional to 56 and 124
Similar ratio
Find third proportional to 81 and 180
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.