Home / 2,159-3,302

Finding the Third Proportional to 2,159 and 3,302

Calculator

Solution

The third proportional to 2,159 and 3,302 is: 5,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159 : 3,302 = 3,302 : x
  2. Step 2: Convert to fraction form
    2,159/3,302 = 3,302/x
  3. Step 3: Cross multiply
    2,159x = 3,302 × 3,302
  4. Step 4: Simplify right side
    2,159x = 10,903,204
  5. Step 5: Solve for x
    x = 10,903,204/2,159
  6. Step 6: Final answer
    x = 5,050.12

Related Problems

Find third proportional to 1,079.50 and 1,651
Half scale
Find third proportional to 4,318 and 6,604
Double scale
Find third proportional to 2,161 and 3,305
Similar ratio
Find third proportional to 3,238.50 and 4,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.