Home / 1,864-2,164

Finding the Third Proportional to 1,864 and 2,164

Calculator

Solution

The third proportional to 1,864 and 2,164 is: 2,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864 : 2,164 = 2,164 : x
  2. Step 2: Convert to fraction form
    1,864/2,164 = 2,164/x
  3. Step 3: Cross multiply
    1,864x = 2,164 × 2,164
  4. Step 4: Simplify right side
    1,864x = 4,682,896
  5. Step 5: Solve for x
    x = 4,682,896/1,864
  6. Step 6: Final answer
    x = 2,512.28

Related Problems

Find third proportional to 932 and 1,082
Half scale
Find third proportional to 3,728 and 4,328
Double scale
Find third proportional to 1,866 and 2,166
Similar ratio
Find third proportional to 2,796 and 3,246
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.