Home / 1,728-3,645

Finding the Third Proportional to 1,728 and 3,645

Calculator

Solution

The third proportional to 1,728 and 3,645 is: 7,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 3,645 = 3,645 : x
  2. Step 2: Convert to fraction form
    1,728/3,645 = 3,645/x
  3. Step 3: Cross multiply
    1,728x = 3,645 × 3,645
  4. Step 4: Simplify right side
    1,728x = 13,286,025
  5. Step 5: Solve for x
    x = 13,286,025/1,728
  6. Step 6: Final answer
    x = 7,688.67

Related Problems

Find third proportional to 864 and 1,822.50
Half scale
Find third proportional to 3,456 and 7,290
Double scale
Find third proportional to 1,730 and 3,649
Similar ratio
Find third proportional to 2,592 and 5,467.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.