Home / 4-6

Finding the Third Proportional to 4 and 6

Calculator

Solution

The third proportional to 4 and 6 is: 9

Step by Step Solution

  1. Step 1: Write the proportion equation
    4 : 6 = 6 : x
  2. Step 2: Convert to fraction form
    4/6 = 6/x
  3. Step 3: Cross multiply
    4x = 6 × 6
  4. Step 4: Simplify right side
    4x = 36
  5. Step 5: Solve for x
    x = 36/4
  6. Step 6: Final answer
    x = 9

Related Problems

Find third proportional to 2 and 3
Half scale
Find third proportional to 8 and 12
Double scale
Find third proportional to 6 and 9
Similar ratio
Find third proportional to 6 and 9
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.