Home / 1,661-1,825

Finding the Third Proportional to 1,661 and 1,825

Calculator

Solution

The third proportional to 1,661 and 1,825 is: 2,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661 : 1,825 = 1,825 : x
  2. Step 2: Convert to fraction form
    1,661/1,825 = 1,825/x
  3. Step 3: Cross multiply
    1,661x = 1,825 × 1,825
  4. Step 4: Simplify right side
    1,661x = 3,330,625
  5. Step 5: Solve for x
    x = 3,330,625/1,661
  6. Step 6: Final answer
    x = 2,005.19

Related Problems

Find third proportional to 830.50 and 912.50
Half scale
Find third proportional to 3,322 and 3,650
Double scale
Find third proportional to 1,663 and 1,827
Similar ratio
Find third proportional to 2,491.50 and 2,737.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.