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

Find third proportional to 128 and 207
Half scale
Find third proportional to 512 and 828
Double scale
Find third proportional to 258 and 417
Similar ratio
Find third proportional to 384 and 621
1.5x scale

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.