Home / 46-82

Finding the Third Proportional to 46 and 82

Calculator

Solution

The third proportional to 46 and 82 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 82 = 82 : x
  2. Step 2: Convert to fraction form
    46/82 = 82/x
  3. Step 3: Cross multiply
    46x = 82 × 82
  4. Step 4: Simplify right side
    46x = 6,724
  5. Step 5: Solve for x
    x = 6,724/46
  6. Step 6: Final answer
    x = 146.17

Related Problems

Find third proportional to 23 and 41
Half scale
Find third proportional to 92 and 164
Double scale
Find third proportional to 48 and 86
Similar ratio
Find third proportional to 69 and 123
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.