Home / 208-257

Finding the Third Proportional to 208 and 257

Calculator

Solution

The third proportional to 208 and 257 is: 317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 257 = 257 : x
  2. Step 2: Convert to fraction form
    208/257 = 257/x
  3. Step 3: Cross multiply
    208x = 257 × 257
  4. Step 4: Simplify right side
    208x = 66,049
  5. Step 5: Solve for x
    x = 66,049/208
  6. Step 6: Final answer
    x = 317.54

Related Problems

Find third proportional to 104 and 128.50
Half scale
Find third proportional to 416 and 514
Double scale
Find third proportional to 210 and 259
Similar ratio
Find third proportional to 312 and 385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.