Home / 223-419

Finding the Third Proportional to 223 and 419

Calculator

Solution

The third proportional to 223 and 419 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    223/419 = 419/x
  3. Step 3: Cross multiply
    223x = 419 × 419
  4. Step 4: Simplify right side
    223x = 175,561
  5. Step 5: Solve for x
    x = 175,561/223
  6. Step 6: Final answer
    x = 787.27

Related Problems

Find third proportional to 111.50 and 209.50
Half scale
Find third proportional to 446 and 838
Double scale
Find third proportional to 225 and 423
Similar ratio
Find third proportional to 334.50 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.