Home / 203-427

Finding the Third Proportional to 203 and 427

Calculator

Solution

The third proportional to 203 and 427 is: 898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203 : 427 = 427 : x
  2. Step 2: Convert to fraction form
    203/427 = 427/x
  3. Step 3: Cross multiply
    203x = 427 × 427
  4. Step 4: Simplify right side
    203x = 182,329
  5. Step 5: Solve for x
    x = 182,329/203
  6. Step 6: Final answer
    x = 898.17

Related Problems

Find third proportional to 101.50 and 213.50
Half scale
Find third proportional to 406 and 854
Double scale
Find third proportional to 205 and 431
Similar ratio
Find third proportional to 304.50 and 640.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.