Home / 1,266-1,777

Finding the Third Proportional to 1,266 and 1,777

Calculator

Solution

The third proportional to 1,266 and 1,777 is: 2,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266 : 1,777 = 1,777 : x
  2. Step 2: Convert to fraction form
    1,266/1,777 = 1,777/x
  3. Step 3: Cross multiply
    1,266x = 1,777 × 1,777
  4. Step 4: Simplify right side
    1,266x = 3,157,729
  5. Step 5: Solve for x
    x = 3,157,729/1,266
  6. Step 6: Final answer
    x = 2,494.26

Related Problems

Find third proportional to 633 and 888.50
Half scale
Find third proportional to 2,532 and 3,554
Double scale
Find third proportional to 1,268 and 1,780
Similar ratio
Find third proportional to 1,899 and 2,665.50
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.