Home / 1,107-1,989

Finding the Third Proportional to 1,107 and 1,989

Calculator

Solution

The third proportional to 1,107 and 1,989 is: 3,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107 : 1,989 = 1,989 : x
  2. Step 2: Convert to fraction form
    1,107/1,989 = 1,989/x
  3. Step 3: Cross multiply
    1,107x = 1,989 × 1,989
  4. Step 4: Simplify right side
    1,107x = 3,956,121
  5. Step 5: Solve for x
    x = 3,956,121/1,107
  6. Step 6: Final answer
    x = 3,573.73

Related Problems

Find third proportional to 553.50 and 994.50
Half scale
Find third proportional to 2,214 and 3,978
Double scale
Find third proportional to 1,109 and 1,993
Similar ratio
Find third proportional to 1,660.50 and 2,983.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.