Home / 367-409

Finding the Third Proportional to 367 and 409

Calculator

Solution

The third proportional to 367 and 409 is: 455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 409 = 409 : x
  2. Step 2: Convert to fraction form
    367/409 = 409/x
  3. Step 3: Cross multiply
    367x = 409 × 409
  4. Step 4: Simplify right side
    367x = 167,281
  5. Step 5: Solve for x
    x = 167,281/367
  6. Step 6: Final answer
    x = 455.81

Related Problems

Find third proportional to 183.50 and 204.50
Half scale
Find third proportional to 734 and 818
Double scale
Find third proportional to 369 and 411
Similar ratio
Find third proportional to 550.50 and 613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.