Home / 113-257

Finding the Third Proportional to 113 and 257

Calculator

Solution

The third proportional to 113 and 257 is: 584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113 : 257 = 257 : x
  2. Step 2: Convert to fraction form
    113/257 = 257/x
  3. Step 3: Cross multiply
    113x = 257 × 257
  4. Step 4: Simplify right side
    113x = 66,049
  5. Step 5: Solve for x
    x = 66,049/113
  6. Step 6: Final answer
    x = 584.50

Related Problems

Find third proportional to 56.50 and 128.50
Half scale
Find third proportional to 226 and 514
Double scale
Find third proportional to 115 and 262
Similar ratio
Find third proportional to 169.50 and 385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.