Home / 201.23-408.38

Finding the Third Proportional to 201.23 and 408.38

Calculator

Solution

The third proportional to 201.23 and 408.38 is: 828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.23 : 408.38 = 408.38 : x
  2. Step 2: Convert to fraction form
    201.23/408.38 = 408.38/x
  3. Step 3: Cross multiply
    201.23x = 408.38 × 408.38
  4. Step 4: Simplify right side
    201.23x = 166,770.14
  5. Step 5: Solve for x
    x = 166,770.14/201.23
  6. Step 6: Final answer
    x = 828.74

Related Problems

Find third proportional to 100.62 and 204.19
Half scale
Find third proportional to 402.47 and 816.75
Double scale
Find third proportional to 203 and 412
Similar ratio
Find third proportional to 301.85 and 612.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.