Home / 205.88-311.06

Finding the Third Proportional to 205.88 and 311.06

Calculator

Solution

The third proportional to 205.88 and 311.06 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 311.06 = 311.06 : x
  2. Step 2: Convert to fraction form
    205.88/311.06 = 311.06/x
  3. Step 3: Cross multiply
    205.88x = 311.06 × 311.06
  4. Step 4: Simplify right side
    205.88x = 96,759.88
  5. Step 5: Solve for x
    x = 96,759.88/205.88
  6. Step 6: Final answer
    x = 469.99

Related Problems

Find third proportional to 102.94 and 155.53
Half scale
Find third proportional to 411.75 and 622.13
Double scale
Find third proportional to 208 and 314
Similar ratio
Find third proportional to 308.81 and 466.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.