Home / 2,164-2,638

Finding the Third Proportional to 2,164 and 2,638

Calculator

Solution

The third proportional to 2,164 and 2,638 is: 3,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164 : 2,638 = 2,638 : x
  2. Step 2: Convert to fraction form
    2,164/2,638 = 2,638/x
  3. Step 3: Cross multiply
    2,164x = 2,638 × 2,638
  4. Step 4: Simplify right side
    2,164x = 6,959,044
  5. Step 5: Solve for x
    x = 6,959,044/2,164
  6. Step 6: Final answer
    x = 3,215.82

Related Problems

Find third proportional to 1,082 and 1,319
Half scale
Find third proportional to 4,328 and 5,276
Double scale
Find third proportional to 2,166 and 2,640
Similar ratio
Find third proportional to 3,246 and 3,957
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.