Home / 1,983-2,805

Finding the Third Proportional to 1,983 and 2,805

Calculator

Solution

The third proportional to 1,983 and 2,805 is: 3,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983 : 2,805 = 2,805 : x
  2. Step 2: Convert to fraction form
    1,983/2,805 = 2,805/x
  3. Step 3: Cross multiply
    1,983x = 2,805 × 2,805
  4. Step 4: Simplify right side
    1,983x = 7,868,025
  5. Step 5: Solve for x
    x = 7,868,025/1,983
  6. Step 6: Final answer
    x = 3,967.74

Related Problems

Find third proportional to 991.50 and 1,402.50
Half scale
Find third proportional to 3,966 and 5,610
Double scale
Find third proportional to 1,985 and 2,808
Similar ratio
Find third proportional to 2,974.50 and 4,207.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.