Home / 189-238

Finding the Third Proportional to 189 and 238

Calculator

Solution

The third proportional to 189 and 238 is: 299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 238 = 238 : x
  2. Step 2: Convert to fraction form
    189/238 = 238/x
  3. Step 3: Cross multiply
    189x = 238 × 238
  4. Step 4: Simplify right side
    189x = 56,644
  5. Step 5: Solve for x
    x = 56,644/189
  6. Step 6: Final answer
    x = 299.70

Related Problems

Find third proportional to 94.50 and 119
Half scale
Find third proportional to 378 and 476
Double scale
Find third proportional to 191 and 241
Similar ratio
Find third proportional to 283.50 and 357
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.