Home / 195-257

Finding the Third Proportional to 195 and 257

Calculator

Solution

The third proportional to 195 and 257 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 257 = 257 : x
  2. Step 2: Convert to fraction form
    195/257 = 257/x
  3. Step 3: Cross multiply
    195x = 257 × 257
  4. Step 4: Simplify right side
    195x = 66,049
  5. Step 5: Solve for x
    x = 66,049/195
  6. Step 6: Final answer
    x = 338.71

Related Problems

Find third proportional to 97.50 and 128.50
Half scale
Find third proportional to 390 and 514
Double scale
Find third proportional to 197 and 260
Similar ratio
Find third proportional to 292.50 and 385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.