Home / 112-200

Finding the Third Proportional to 112 and 200

Calculator

Solution

The third proportional to 112 and 200 is: 357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 200 = 200 : x
  2. Step 2: Convert to fraction form
    112/200 = 200/x
  3. Step 3: Cross multiply
    112x = 200 × 200
  4. Step 4: Simplify right side
    112x = 40,000
  5. Step 5: Solve for x
    x = 40,000/112
  6. Step 6: Final answer
    x = 357.14

Related Problems

Find third proportional to 56 and 100
Half scale
Find third proportional to 224 and 400
Double scale
Find third proportional to 114 and 204
Similar ratio
Find third proportional to 168 and 300
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.