Home / 241-512

Finding the Third Proportional to 241 and 512

Calculator

Solution

The third proportional to 241 and 512 is: 1,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 512 = 512 : x
  2. Step 2: Convert to fraction form
    241/512 = 512/x
  3. Step 3: Cross multiply
    241x = 512 × 512
  4. Step 4: Simplify right side
    241x = 262,144
  5. Step 5: Solve for x
    x = 262,144/241
  6. Step 6: Final answer
    x = 1,087.73

Related Problems

Find third proportional to 120.50 and 256
Half scale
Find third proportional to 482 and 1,024
Double scale
Find third proportional to 243 and 516
Similar ratio
Find third proportional to 361.50 and 768
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.