Home / 46-85

Finding the Third Proportional to 46 and 85

Calculator

Solution

The third proportional to 46 and 85 is: 157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 85 = 85 : x
  2. Step 2: Convert to fraction form
    46/85 = 85/x
  3. Step 3: Cross multiply
    46x = 85 × 85
  4. Step 4: Simplify right side
    46x = 7,225
  5. Step 5: Solve for x
    x = 7,225/46
  6. Step 6: Final answer
    x = 157.07

Related Problems

Find third proportional to 23 and 42.50
Half scale
Find third proportional to 92 and 170
Double scale
Find third proportional to 48 and 89
Similar ratio
Find third proportional to 69 and 127.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.