Home / 158-208

Finding the Third Proportional to 158 and 208

Calculator

Solution

The third proportional to 158 and 208 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158 : 208 = 208 : x
  2. Step 2: Convert to fraction form
    158/208 = 208/x
  3. Step 3: Cross multiply
    158x = 208 × 208
  4. Step 4: Simplify right side
    158x = 43,264
  5. Step 5: Solve for x
    x = 43,264/158
  6. Step 6: Final answer
    x = 273.82

Related Problems

Find third proportional to 79 and 104
Half scale
Find third proportional to 316 and 416
Double scale
Find third proportional to 160 and 211
Similar ratio
Find third proportional to 237 and 312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.