Home / 1,863-2,034

Finding the Third Proportional to 1,863 and 2,034

Calculator

Solution

The third proportional to 1,863 and 2,034 is: 2,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863 : 2,034 = 2,034 : x
  2. Step 2: Convert to fraction form
    1,863/2,034 = 2,034/x
  3. Step 3: Cross multiply
    1,863x = 2,034 × 2,034
  4. Step 4: Simplify right side
    1,863x = 4,137,156
  5. Step 5: Solve for x
    x = 4,137,156/1,863
  6. Step 6: Final answer
    x = 2,220.70

Related Problems

Find third proportional to 931.50 and 1,017
Half scale
Find third proportional to 3,726 and 4,068
Double scale
Find third proportional to 1,865 and 2,036
Similar ratio
Find third proportional to 2,794.50 and 3,051
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.