Home / 201.19-311.31

Finding the Third Proportional to 201.19 and 311.31

Calculator

Solution

The third proportional to 201.19 and 311.31 is: 481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.19 : 311.31 = 311.31 : x
  2. Step 2: Convert to fraction form
    201.19/311.31 = 311.31/x
  3. Step 3: Cross multiply
    201.19x = 311.31 × 311.31
  4. Step 4: Simplify right side
    201.19x = 96,915.47
  5. Step 5: Solve for x
    x = 96,915.47/201.19
  6. Step 6: Final answer
    x = 481.72

Related Problems

Find third proportional to 100.59 and 155.66
Half scale
Find third proportional to 402.38 and 622.63
Double scale
Find third proportional to 203 and 314
Similar ratio
Find third proportional to 301.78 and 466.97
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.