Home / 166-266

Finding the Third Proportional to 166 and 266

Calculator

Solution

The third proportional to 166 and 266 is: 426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 266 = 266 : x
  2. Step 2: Convert to fraction form
    166/266 = 266/x
  3. Step 3: Cross multiply
    166x = 266 × 266
  4. Step 4: Simplify right side
    166x = 70,756
  5. Step 5: Solve for x
    x = 70,756/166
  6. Step 6: Final answer
    x = 426.24

Related Problems

Find third proportional to 83 and 133
Half scale
Find third proportional to 332 and 532
Double scale
Find third proportional to 168 and 269
Similar ratio
Find third proportional to 249 and 399
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.