Home / 256-414

Finding the Third Proportional to 256 and 414

Calculator

Solution

The third proportional to 256 and 414 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 414 = 414 : x
  2. Step 2: Convert to fraction form
    256/414 = 414/x
  3. Step 3: Cross multiply
    256x = 414 × 414
  4. Step 4: Simplify right side
    256x = 171,396
  5. Step 5: Solve for x
    x = 171,396/256
  6. Step 6: Final answer
    x = 669.52

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.