Home / 1,680-1,812

Finding the Third Proportional to 1,680 and 1,812

Calculator

Solution

The third proportional to 1,680 and 1,812 is: 1,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 1,812 = 1,812 : x
  2. Step 2: Convert to fraction form
    1,680/1,812 = 1,812/x
  3. Step 3: Cross multiply
    1,680x = 1,812 × 1,812
  4. Step 4: Simplify right side
    1,680x = 3,283,344
  5. Step 5: Solve for x
    x = 3,283,344/1,680
  6. Step 6: Final answer
    x = 1,954.37

Related Problems

Find third proportional to 840 and 906
Half scale
Find third proportional to 3,360 and 3,624
Double scale
Find third proportional to 1,682 and 1,814
Similar ratio
Find third proportional to 2,520 and 2,718
1.5x scale

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.