Home / 210.50-419

Finding the Third Proportional to 210.50 and 419

Calculator

Solution

The third proportional to 210.50 and 419 is: 834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    210.50/419 = 419/x
  3. Step 3: Cross multiply
    210.50x = 419 × 419
  4. Step 4: Simplify right side
    210.50x = 175,561
  5. Step 5: Solve for x
    x = 175,561/210.50
  6. Step 6: Final answer
    x = 834.02

Related Problems

Find third proportional to 105.25 and 209.50
Half scale
Find third proportional to 421 and 838
Double scale
Find third proportional to 213 and 423
Similar ratio
Find third proportional to 315.75 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.