Home / 1,086-1,686

Finding the Third Proportional to 1,086 and 1,686

Calculator

Solution

The third proportional to 1,086 and 1,686 is: 2,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086 : 1,686 = 1,686 : x
  2. Step 2: Convert to fraction form
    1,086/1,686 = 1,686/x
  3. Step 3: Cross multiply
    1,086x = 1,686 × 1,686
  4. Step 4: Simplify right side
    1,086x = 2,842,596
  5. Step 5: Solve for x
    x = 2,842,596/1,086
  6. Step 6: Final answer
    x = 2,617.49

Related Problems

Find third proportional to 543 and 843
Half scale
Find third proportional to 2,172 and 3,372
Double scale
Find third proportional to 1,088 and 1,689
Similar ratio
Find third proportional to 1,629 and 2,529
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.