Home / 135.50-208

Finding the Third Proportional to 135.50 and 208

Calculator

Solution

The third proportional to 135.50 and 208 is: 319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 208 = 208 : x
  2. Step 2: Convert to fraction form
    135.50/208 = 208/x
  3. Step 3: Cross multiply
    135.50x = 208 × 208
  4. Step 4: Simplify right side
    135.50x = 43,264
  5. Step 5: Solve for x
    x = 43,264/135.50
  6. Step 6: Final answer
    x = 319.29

Related Problems

Find third proportional to 67.75 and 104
Half scale
Find third proportional to 271 and 416
Double scale
Find third proportional to 138 and 211
Similar ratio
Find third proportional to 203.25 and 312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.