Home / 123-231

Finding the Third Proportional to 123 and 231

Calculator

Solution

The third proportional to 123 and 231 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 231 = 231 : x
  2. Step 2: Convert to fraction form
    123/231 = 231/x
  3. Step 3: Cross multiply
    123x = 231 × 231
  4. Step 4: Simplify right side
    123x = 53,361
  5. Step 5: Solve for x
    x = 53,361/123
  6. Step 6: Final answer
    x = 433.83

Related Problems

Find third proportional to 61.50 and 115.50
Half scale
Find third proportional to 246 and 462
Double scale
Find third proportional to 125 and 235
Similar ratio
Find third proportional to 184.50 and 346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.