Home / 296-419

Finding the Third Proportional to 296 and 419

Calculator

Solution

The third proportional to 296 and 419 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    296/419 = 419/x
  3. Step 3: Cross multiply
    296x = 419 × 419
  4. Step 4: Simplify right side
    296x = 175,561
  5. Step 5: Solve for x
    x = 175,561/296
  6. Step 6: Final answer
    x = 593.11

Related Problems

Find third proportional to 148 and 209.50
Half scale
Find third proportional to 592 and 838
Double scale
Find third proportional to 298 and 422
Similar ratio
Find third proportional to 444 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.