Home / 133,081-202,162

Finding the Third Proportional to 133,081 and 202,162

Calculator

Solution

The third proportional to 133,081 and 202,162 is: 307,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081 : 202,162 = 202,162 : x
  2. Step 2: Convert to fraction form
    133,081/202,162 = 202,162/x
  3. Step 3: Cross multiply
    133,081x = 202,162 × 202,162
  4. Step 4: Simplify right side
    133,081x = 40,869,474,244
  5. Step 5: Solve for x
    x = 40,869,474,244/133,081
  6. Step 6: Final answer
    x = 307,102.25

Related Problems

Find third proportional to 66,540.50 and 101,081
Half scale
Find third proportional to 266,162 and 404,324
Double scale
Find third proportional to 133,083 and 202,165
Similar ratio
Find third proportional to 199,621.50 and 303,243
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.