Home / 1,692-1,845

Finding the Third Proportional to 1,692 and 1,845

Calculator

Solution

The third proportional to 1,692 and 1,845 is: 2,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692 : 1,845 = 1,845 : x
  2. Step 2: Convert to fraction form
    1,692/1,845 = 1,845/x
  3. Step 3: Cross multiply
    1,692x = 1,845 × 1,845
  4. Step 4: Simplify right side
    1,692x = 3,404,025
  5. Step 5: Solve for x
    x = 3,404,025/1,692
  6. Step 6: Final answer
    x = 2,011.84

Related Problems

Find third proportional to 846 and 922.50
Half scale
Find third proportional to 3,384 and 3,690
Double scale
Find third proportional to 1,694 and 1,847
Similar ratio
Find third proportional to 2,538 and 2,767.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.