Home / 137-196

Finding the Third Proportional to 137 and 196

Calculator

Solution

The third proportional to 137 and 196 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 196 = 196 : x
  2. Step 2: Convert to fraction form
    137/196 = 196/x
  3. Step 3: Cross multiply
    137x = 196 × 196
  4. Step 4: Simplify right side
    137x = 38,416
  5. Step 5: Solve for x
    x = 38,416/137
  6. Step 6: Final answer
    x = 280.41

Related Problems

Find third proportional to 68.50 and 98
Half scale
Find third proportional to 274 and 392
Double scale
Find third proportional to 139 and 199
Similar ratio
Find third proportional to 205.50 and 294
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.