Home / 230-257

Finding the Third Proportional to 230 and 257

Calculator

Solution

The third proportional to 230 and 257 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 257 = 257 : x
  2. Step 2: Convert to fraction form
    230/257 = 257/x
  3. Step 3: Cross multiply
    230x = 257 × 257
  4. Step 4: Simplify right side
    230x = 66,049
  5. Step 5: Solve for x
    x = 66,049/230
  6. Step 6: Final answer
    x = 287.17

Related Problems

Find third proportional to 115 and 128.50
Half scale
Find third proportional to 460 and 514
Double scale
Find third proportional to 232 and 259
Similar ratio
Find third proportional to 345 and 385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.