Home / 161-406

Finding the Third Proportional to 161 and 406

Calculator

Solution

The third proportional to 161 and 406 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161 : 406 = 406 : x
  2. Step 2: Convert to fraction form
    161/406 = 406/x
  3. Step 3: Cross multiply
    161x = 406 × 406
  4. Step 4: Simplify right side
    161x = 164,836
  5. Step 5: Solve for x
    x = 164,836/161
  6. Step 6: Final answer
    x = 1,023.83

Related Problems

Find third proportional to 80.50 and 203
Half scale
Find third proportional to 322 and 812
Double scale
Find third proportional to 163 and 411
Similar ratio
Find third proportional to 241.50 and 609
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.