Home / 1,008-1,416

Finding the Third Proportional to 1,008 and 1,416

Calculator

Solution

The third proportional to 1,008 and 1,416 is: 1,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008 : 1,416 = 1,416 : x
  2. Step 2: Convert to fraction form
    1,008/1,416 = 1,416/x
  3. Step 3: Cross multiply
    1,008x = 1,416 × 1,416
  4. Step 4: Simplify right side
    1,008x = 2,005,056
  5. Step 5: Solve for x
    x = 2,005,056/1,008
  6. Step 6: Final answer
    x = 1,989.14

Related Problems

Find third proportional to 504 and 708
Half scale
Find third proportional to 2,016 and 2,832
Double scale
Find third proportional to 1,010 and 1,419
Similar ratio
Find third proportional to 1,512 and 2,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.