Home / 168-257

Finding the Third Proportional to 168 and 257

Calculator

Solution

The third proportional to 168 and 257 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168 : 257 = 257 : x
  2. Step 2: Convert to fraction form
    168/257 = 257/x
  3. Step 3: Cross multiply
    168x = 257 × 257
  4. Step 4: Simplify right side
    168x = 66,049
  5. Step 5: Solve for x
    x = 66,049/168
  6. Step 6: Final answer
    x = 393.15

Related Problems

Find third proportional to 84 and 128.50
Half scale
Find third proportional to 336 and 514
Double scale
Find third proportional to 170 and 260
Similar ratio
Find third proportional to 252 and 385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.