Home / 133-169

Finding the Third Proportional to 133 and 169

Calculator

Solution

The third proportional to 133 and 169 is: 214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133 : 169 = 169 : x
  2. Step 2: Convert to fraction form
    133/169 = 169/x
  3. Step 3: Cross multiply
    133x = 169 × 169
  4. Step 4: Simplify right side
    133x = 28,561
  5. Step 5: Solve for x
    x = 28,561/133
  6. Step 6: Final answer
    x = 214.74

Related Problems

Find third proportional to 66.50 and 84.50
Half scale
Find third proportional to 266 and 338
Double scale
Find third proportional to 135 and 172
Similar ratio
Find third proportional to 199.50 and 253.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.