Home / 1,689-1,821

Finding the Third Proportional to 1,689 and 1,821

Calculator

Solution

The third proportional to 1,689 and 1,821 is: 1,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689 : 1,821 = 1,821 : x
  2. Step 2: Convert to fraction form
    1,689/1,821 = 1,821/x
  3. Step 3: Cross multiply
    1,689x = 1,821 × 1,821
  4. Step 4: Simplify right side
    1,689x = 3,316,041
  5. Step 5: Solve for x
    x = 3,316,041/1,689
  6. Step 6: Final answer
    x = 1,963.32

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.