Home / 260-398

Finding the Third Proportional to 260 and 398

Calculator

Solution

The third proportional to 260 and 398 is: 609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 398 = 398 : x
  2. Step 2: Convert to fraction form
    260/398 = 398/x
  3. Step 3: Cross multiply
    260x = 398 × 398
  4. Step 4: Simplify right side
    260x = 158,404
  5. Step 5: Solve for x
    x = 158,404/260
  6. Step 6: Final answer
    x = 609.25

Related Problems

Find third proportional to 130 and 199
Half scale
Find third proportional to 520 and 796
Double scale
Find third proportional to 262 and 401
Similar ratio
Find third proportional to 390 and 597
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.