Home / 504-1,008

Finding the Third Proportional to 504 and 1,008

Calculator

Solution

The third proportional to 504 and 1,008 is: 2,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 1,008 = 1,008 : x
  2. Step 2: Convert to fraction form
    504/1,008 = 1,008/x
  3. Step 3: Cross multiply
    504x = 1,008 × 1,008
  4. Step 4: Simplify right side
    504x = 1,016,064
  5. Step 5: Solve for x
    x = 1,016,064/504
  6. Step 6: Final answer
    x = 2,016

Related Problems

Find third proportional to 252 and 504
Half scale
Find third proportional to 1,008 and 2,016
Double scale
Find third proportional to 506 and 1,012
Similar ratio
Find third proportional to 756 and 1,512
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.