Home / 133,909-202,233

Finding the Third Proportional to 133,909 and 202,233

Calculator

Solution

The third proportional to 133,909 and 202,233 is: 305,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,909 : 202,233 = 202,233 : x
  2. Step 2: Convert to fraction form
    133,909/202,233 = 202,233/x
  3. Step 3: Cross multiply
    133,909x = 202,233 × 202,233
  4. Step 4: Simplify right side
    133,909x = 40,898,186,289
  5. Step 5: Solve for x
    x = 40,898,186,289/133,909
  6. Step 6: Final answer
    x = 305,417.76

Related Problems

Find third proportional to 66,954.50 and 101,116.50
Half scale
Find third proportional to 267,818 and 404,466
Double scale
Find third proportional to 133,911 and 202,236
Similar ratio
Find third proportional to 200,863.50 and 303,349.50
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.