Home / 1,406-2,185

Finding the Third Proportional to 1,406 and 2,185

Calculator

Solution

The third proportional to 1,406 and 2,185 is: 3,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406 : 2,185 = 2,185 : x
  2. Step 2: Convert to fraction form
    1,406/2,185 = 2,185/x
  3. Step 3: Cross multiply
    1,406x = 2,185 × 2,185
  4. Step 4: Simplify right side
    1,406x = 4,774,225
  5. Step 5: Solve for x
    x = 4,774,225/1,406
  6. Step 6: Final answer
    x = 3,395.61

Related Problems

Find third proportional to 703 and 1,092.50
Half scale
Find third proportional to 2,812 and 4,370
Double scale
Find third proportional to 1,408 and 2,188
Similar ratio
Find third proportional to 2,109 and 3,277.50
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.