Home / 1,728-1,944

Finding the Third Proportional to 1,728 and 1,944

Calculator

Solution

The third proportional to 1,728 and 1,944 is: 2,187

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 1,944 = 1,944 : x
  2. Step 2: Convert to fraction form
    1,728/1,944 = 1,944/x
  3. Step 3: Cross multiply
    1,728x = 1,944 × 1,944
  4. Step 4: Simplify right side
    1,728x = 3,779,136
  5. Step 5: Solve for x
    x = 3,779,136/1,728
  6. Step 6: Final answer
    x = 2,187

Related Problems

Find third proportional to 864 and 972
Half scale
Find third proportional to 3,456 and 3,888
Double scale
Find third proportional to 1,730 and 1,946
Similar ratio
Find third proportional to 2,592 and 2,916
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.