Home / 16-40

Finding the Third Proportional to 16 and 40

Calculator

Solution

The third proportional to 16 and 40 is: 100

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 40 = 40 : x
  2. Step 2: Convert to fraction form
    16/40 = 40/x
  3. Step 3: Cross multiply
    16x = 40 × 40
  4. Step 4: Simplify right side
    16x = 1,600
  5. Step 5: Solve for x
    x = 1,600/16
  6. Step 6: Final answer
    x = 100

Related Problems

Find third proportional to 8 and 20
Half scale
Find third proportional to 32 and 80
Double scale
Find third proportional to 18 and 45
Similar ratio
Find third proportional to 24 and 60
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.