Home / 137-274

Finding the Third Proportional to 137 and 274

Calculator

Solution

The third proportional to 137 and 274 is: 548

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 274 = 274 : x
  2. Step 2: Convert to fraction form
    137/274 = 274/x
  3. Step 3: Cross multiply
    137x = 274 × 274
  4. Step 4: Simplify right side
    137x = 75,076
  5. Step 5: Solve for x
    x = 75,076/137
  6. Step 6: Final answer
    x = 548

Related Problems

Find third proportional to 68.50 and 137
Half scale
Find third proportional to 274 and 548
Double scale
Find third proportional to 139 and 278
Similar ratio
Find third proportional to 205.50 and 411
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.