Home / 2,102-3,159

Finding the Third Proportional to 2,102 and 3,159

Calculator

Solution

The third proportional to 2,102 and 3,159 is: 4,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 3,159 = 3,159 : x
  2. Step 2: Convert to fraction form
    2,102/3,159 = 3,159/x
  3. Step 3: Cross multiply
    2,102x = 3,159 × 3,159
  4. Step 4: Simplify right side
    2,102x = 9,979,281
  5. Step 5: Solve for x
    x = 9,979,281/2,102
  6. Step 6: Final answer
    x = 4,747.52

Related Problems

Find third proportional to 1,051 and 1,579.50
Half scale
Find third proportional to 4,204 and 6,318
Double scale
Find third proportional to 2,104 and 3,162
Similar ratio
Find third proportional to 3,153 and 4,738.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.