Home / 1,296-2,196

Finding the Third Proportional to 1,296 and 2,196

Calculator

Solution

The third proportional to 1,296 and 2,196 is: 3,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 2,196 = 2,196 : x
  2. Step 2: Convert to fraction form
    1,296/2,196 = 2,196/x
  3. Step 3: Cross multiply
    1,296x = 2,196 × 2,196
  4. Step 4: Simplify right side
    1,296x = 4,822,416
  5. Step 5: Solve for x
    x = 4,822,416/1,296
  6. Step 6: Final answer
    x = 3,721

Related Problems

Find third proportional to 648 and 1,098
Half scale
Find third proportional to 2,592 and 4,392
Double scale
Find third proportional to 1,298 and 2,199
Similar ratio
Find third proportional to 1,944 and 3,294
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.