Home / 266.75-419

Finding the Third Proportional to 266.75 and 419

Calculator

Solution

The third proportional to 266.75 and 419 is: 658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.75 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    266.75/419 = 419/x
  3. Step 3: Cross multiply
    266.75x = 419 × 419
  4. Step 4: Simplify right side
    266.75x = 175,561
  5. Step 5: Solve for x
    x = 175,561/266.75
  6. Step 6: Final answer
    x = 658.15

Related Problems

Find third proportional to 133.38 and 209.50
Half scale
Find third proportional to 533.50 and 838
Double scale
Find third proportional to 269 and 422
Similar ratio
Find third proportional to 400.13 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.