Home / 1,646-2,259

Finding the Third Proportional to 1,646 and 2,259

Calculator

Solution

The third proportional to 1,646 and 2,259 is: 3,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646 : 2,259 = 2,259 : x
  2. Step 2: Convert to fraction form
    1,646/2,259 = 2,259/x
  3. Step 3: Cross multiply
    1,646x = 2,259 × 2,259
  4. Step 4: Simplify right side
    1,646x = 5,103,081
  5. Step 5: Solve for x
    x = 5,103,081/1,646
  6. Step 6: Final answer
    x = 3,100.29

Related Problems

Find third proportional to 823 and 1,129.50
Half scale
Find third proportional to 3,292 and 4,518
Double scale
Find third proportional to 1,648 and 2,262
Similar ratio
Find third proportional to 2,469 and 3,388.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.