Home / 249.75-408.75

Finding the Third Proportional to 249.75 and 408.75

Calculator

Solution

The third proportional to 249.75 and 408.75 is: 668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 408.75 = 408.75 : x
  2. Step 2: Convert to fraction form
    249.75/408.75 = 408.75/x
  3. Step 3: Cross multiply
    249.75x = 408.75 × 408.75
  4. Step 4: Simplify right side
    249.75x = 167,076.56
  5. Step 5: Solve for x
    x = 167,076.56/249.75
  6. Step 6: Final answer
    x = 668.98

Related Problems

Find third proportional to 124.88 and 204.38
Half scale
Find third proportional to 499.50 and 817.50
Double scale
Find third proportional to 252 and 412
Similar ratio
Find third proportional to 374.63 and 613.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.