Home / 217-419

Finding the Third Proportional to 217 and 419

Calculator

Solution

The third proportional to 217 and 419 is: 809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    217/419 = 419/x
  3. Step 3: Cross multiply
    217x = 419 × 419
  4. Step 4: Simplify right side
    217x = 175,561
  5. Step 5: Solve for x
    x = 175,561/217
  6. Step 6: Final answer
    x = 809.04

Related Problems

Find third proportional to 108.50 and 209.50
Half scale
Find third proportional to 434 and 838
Double scale
Find third proportional to 219 and 423
Similar ratio
Find third proportional to 325.50 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.