Home / 122-197

Finding the Third Proportional to 122 and 197

Calculator

Solution

The third proportional to 122 and 197 is: 318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 197 = 197 : x
  2. Step 2: Convert to fraction form
    122/197 = 197/x
  3. Step 3: Cross multiply
    122x = 197 × 197
  4. Step 4: Simplify right side
    122x = 38,809
  5. Step 5: Solve for x
    x = 38,809/122
  6. Step 6: Final answer
    x = 318.11

Related Problems

Find third proportional to 61 and 98.50
Half scale
Find third proportional to 244 and 394
Double scale
Find third proportional to 124 and 200
Similar ratio
Find third proportional to 183 and 295.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.