Home / 1,198-1,291

Finding the Third Proportional to 1,198 and 1,291

Calculator

Solution

The third proportional to 1,198 and 1,291 is: 1,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198 : 1,291 = 1,291 : x
  2. Step 2: Convert to fraction form
    1,198/1,291 = 1,291/x
  3. Step 3: Cross multiply
    1,198x = 1,291 × 1,291
  4. Step 4: Simplify right side
    1,198x = 1,666,681
  5. Step 5: Solve for x
    x = 1,666,681/1,198
  6. Step 6: Final answer
    x = 1,391.22

Related Problems

Find third proportional to 599 and 645.50
Half scale
Find third proportional to 2,396 and 2,582
Double scale
Find third proportional to 1,200 and 1,293
Similar ratio
Find third proportional to 1,797 and 1,936.50
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.