Home / 1,296-1,728

Finding the Third Proportional to 1,296 and 1,728

Calculator

Solution

The third proportional to 1,296 and 1,728 is: 2,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 1,728 = 1,728 : x
  2. Step 2: Convert to fraction form
    1,296/1,728 = 1,728/x
  3. Step 3: Cross multiply
    1,296x = 1,728 × 1,728
  4. Step 4: Simplify right side
    1,296x = 2,985,984
  5. Step 5: Solve for x
    x = 2,985,984/1,296
  6. Step 6: Final answer
    x = 2,304

Related Problems

Find third proportional to 648 and 864
Half scale
Find third proportional to 2,592 and 3,456
Double scale
Find third proportional to 1,298 and 1,731
Similar ratio
Find third proportional to 1,944 and 2,592
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.