Home / 201.50-419

Finding the Third Proportional to 201.50 and 419

Calculator

Solution

The third proportional to 201.50 and 419 is: 871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.50 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    201.50/419 = 419/x
  3. Step 3: Cross multiply
    201.50x = 419 × 419
  4. Step 4: Simplify right side
    201.50x = 175,561
  5. Step 5: Solve for x
    x = 175,561/201.50
  6. Step 6: Final answer
    x = 871.27

Related Problems

Find third proportional to 100.75 and 209.50
Half scale
Find third proportional to 403 and 838
Double scale
Find third proportional to 204 and 423
Similar ratio
Find third proportional to 302.25 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.