Home / 32-67

Finding the Third Proportional to 32 and 67

Calculator

Solution

The third proportional to 32 and 67 is: 140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 67 = 67 : x
  2. Step 2: Convert to fraction form
    32/67 = 67/x
  3. Step 3: Cross multiply
    32x = 67 × 67
  4. Step 4: Simplify right side
    32x = 4,489
  5. Step 5: Solve for x
    x = 4,489/32
  6. Step 6: Final answer
    x = 140.28

Related Problems

Find third proportional to 16 and 33.50
Half scale
Find third proportional to 64 and 134
Double scale
Find third proportional to 34 and 71
Similar ratio
Find third proportional to 48 and 100.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.