Home / 1,008-1,089

Finding the Third Proportional to 1,008 and 1,089

Calculator

Solution

The third proportional to 1,008 and 1,089 is: 1,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008 : 1,089 = 1,089 : x
  2. Step 2: Convert to fraction form
    1,008/1,089 = 1,089/x
  3. Step 3: Cross multiply
    1,008x = 1,089 × 1,089
  4. Step 4: Simplify right side
    1,008x = 1,185,921
  5. Step 5: Solve for x
    x = 1,185,921/1,008
  6. Step 6: Final answer
    x = 1,176.51

Related Problems

Find third proportional to 504 and 544.50
Half scale
Find third proportional to 2,016 and 2,178
Double scale
Find third proportional to 1,010 and 1,091
Similar ratio
Find third proportional to 1,512 and 1,633.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.