Home / 664-996

Finding the Third Proportional to 664 and 996

Calculator

Solution

The third proportional to 664 and 996 is: 1,494

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 996 = 996 : x
  2. Step 2: Convert to fraction form
    664/996 = 996/x
  3. Step 3: Cross multiply
    664x = 996 × 996
  4. Step 4: Simplify right side
    664x = 992,016
  5. Step 5: Solve for x
    x = 992,016/664
  6. Step 6: Final answer
    x = 1,494

Related Problems

Find third proportional to 332 and 498
Half scale
Find third proportional to 1,328 and 1,992
Double scale
Find third proportional to 666 and 999
Similar ratio
Find third proportional to 996 and 1,494
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.