Home / 349-504

Finding the Third Proportional to 349 and 504

Calculator

Solution

The third proportional to 349 and 504 is: 727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349 : 504 = 504 : x
  2. Step 2: Convert to fraction form
    349/504 = 504/x
  3. Step 3: Cross multiply
    349x = 504 × 504
  4. Step 4: Simplify right side
    349x = 254,016
  5. Step 5: Solve for x
    x = 254,016/349
  6. Step 6: Final answer
    x = 727.84

Related Problems

Find third proportional to 174.50 and 252
Half scale
Find third proportional to 698 and 1,008
Double scale
Find third proportional to 351 and 507
Similar ratio
Find third proportional to 523.50 and 756
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.