Home / 1,039-1,123

Finding the Third Proportional to 1,039 and 1,123

Calculator

Solution

The third proportional to 1,039 and 1,123 is: 1,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039 : 1,123 = 1,123 : x
  2. Step 2: Convert to fraction form
    1,039/1,123 = 1,123/x
  3. Step 3: Cross multiply
    1,039x = 1,123 × 1,123
  4. Step 4: Simplify right side
    1,039x = 1,261,129
  5. Step 5: Solve for x
    x = 1,261,129/1,039
  6. Step 6: Final answer
    x = 1,213.79

Related Problems

Find third proportional to 519.50 and 561.50
Half scale
Find third proportional to 2,078 and 2,246
Double scale
Find third proportional to 1,041 and 1,125
Similar ratio
Find third proportional to 1,558.50 and 1,684.50
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.