Home / 119-208

Finding the Third Proportional to 119 and 208

Calculator

Solution

The third proportional to 119 and 208 is: 363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 208 = 208 : x
  2. Step 2: Convert to fraction form
    119/208 = 208/x
  3. Step 3: Cross multiply
    119x = 208 × 208
  4. Step 4: Simplify right side
    119x = 43,264
  5. Step 5: Solve for x
    x = 43,264/119
  6. Step 6: Final answer
    x = 363.56

Related Problems

Find third proportional to 59.50 and 104
Half scale
Find third proportional to 238 and 416
Double scale
Find third proportional to 121 and 211
Similar ratio
Find third proportional to 178.50 and 312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.