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

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.