Home / 756-1,648

Finding the Third Proportional to 756 and 1,648

Calculator

Solution

The third proportional to 756 and 1,648 is: 3,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    756 : 1,648 = 1,648 : x
  2. Step 2: Convert to fraction form
    756/1,648 = 1,648/x
  3. Step 3: Cross multiply
    756x = 1,648 × 1,648
  4. Step 4: Simplify right side
    756x = 2,715,904
  5. Step 5: Solve for x
    x = 2,715,904/756
  6. Step 6: Final answer
    x = 3,592.47

Related Problems

Find third proportional to 378 and 824
Half scale
Find third proportional to 1,512 and 3,296
Double scale
Find third proportional to 758 and 1,652
Similar ratio
Find third proportional to 1,134 and 2,472
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.