Home / 314-419

Finding the Third Proportional to 314 and 419

Calculator

Solution

The third proportional to 314 and 419 is: 559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    314/419 = 419/x
  3. Step 3: Cross multiply
    314x = 419 × 419
  4. Step 4: Simplify right side
    314x = 175,561
  5. Step 5: Solve for x
    x = 175,561/314
  6. Step 6: Final answer
    x = 559.11

Related Problems

Find third proportional to 157 and 209.50
Half scale
Find third proportional to 628 and 838
Double scale
Find third proportional to 316 and 422
Similar ratio
Find third proportional to 471 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.