Home / 1,780-1,892

Finding the Third Proportional to 1,780 and 1,892

Calculator

Solution

The third proportional to 1,780 and 1,892 is: 2,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780 : 1,892 = 1,892 : x
  2. Step 2: Convert to fraction form
    1,780/1,892 = 1,892/x
  3. Step 3: Cross multiply
    1,780x = 1,892 × 1,892
  4. Step 4: Simplify right side
    1,780x = 3,579,664
  5. Step 5: Solve for x
    x = 3,579,664/1,780
  6. Step 6: Final answer
    x = 2,011.05

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.