Home / 123-274

Finding the Third Proportional to 123 and 274

Calculator

Solution

The third proportional to 123 and 274 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 274 = 274 : x
  2. Step 2: Convert to fraction form
    123/274 = 274/x
  3. Step 3: Cross multiply
    123x = 274 × 274
  4. Step 4: Simplify right side
    123x = 75,076
  5. Step 5: Solve for x
    x = 75,076/123
  6. Step 6: Final answer
    x = 610.37

Related Problems

Find third proportional to 61.50 and 137
Half scale
Find third proportional to 246 and 548
Double scale
Find third proportional to 125 and 278
Similar ratio
Find third proportional to 184.50 and 411
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.