Home / 268-419

Finding the Third Proportional to 268 and 419

Calculator

Solution

The third proportional to 268 and 419 is: 655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    268/419 = 419/x
  3. Step 3: Cross multiply
    268x = 419 × 419
  4. Step 4: Simplify right side
    268x = 175,561
  5. Step 5: Solve for x
    x = 175,561/268
  6. Step 6: Final answer
    x = 655.08

Related Problems

Find third proportional to 134 and 209.50
Half scale
Find third proportional to 536 and 838
Double scale
Find third proportional to 270 and 422
Similar ratio
Find third proportional to 402 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.