Home / 72-96

Finding the Third Proportional to 72 and 96

Calculator

Solution

The third proportional to 72 and 96 is: 128

Step by Step Solution

  1. Step 1: Write the proportion equation
    72 : 96 = 96 : x
  2. Step 2: Convert to fraction form
    72/96 = 96/x
  3. Step 3: Cross multiply
    72x = 96 × 96
  4. Step 4: Simplify right side
    72x = 9,216
  5. Step 5: Solve for x
    x = 9,216/72
  6. Step 6: Final answer
    x = 128

Related Problems

Find third proportional to 36 and 48
Half scale
Find third proportional to 144 and 192
Double scale
Find third proportional to 74 and 99
Similar ratio
Find third proportional to 108 and 144
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.