Home / 225-407

Finding the Third Proportional to 225 and 407

Calculator

Solution

The third proportional to 225 and 407 is: 736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225 : 407 = 407 : x
  2. Step 2: Convert to fraction form
    225/407 = 407/x
  3. Step 3: Cross multiply
    225x = 407 × 407
  4. Step 4: Simplify right side
    225x = 165,649
  5. Step 5: Solve for x
    x = 165,649/225
  6. Step 6: Final answer
    x = 736.22

Related Problems

Find third proportional to 112.50 and 203.50
Half scale
Find third proportional to 450 and 814
Double scale
Find third proportional to 227 and 411
Similar ratio
Find third proportional to 337.50 and 610.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.