Home / 194-419

Finding the Third Proportional to 194 and 419

Calculator

Solution

The third proportional to 194 and 419 is: 904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    194/419 = 419/x
  3. Step 3: Cross multiply
    194x = 419 × 419
  4. Step 4: Simplify right side
    194x = 175,561
  5. Step 5: Solve for x
    x = 175,561/194
  6. Step 6: Final answer
    x = 904.95

Related Problems

Find third proportional to 97 and 209.50
Half scale
Find third proportional to 388 and 838
Double scale
Find third proportional to 196 and 423
Similar ratio
Find third proportional to 291 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.