Home / 2,128-3,299

Finding the Third Proportional to 2,128 and 3,299

Calculator

Solution

The third proportional to 2,128 and 3,299 is: 5,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128 : 3,299 = 3,299 : x
  2. Step 2: Convert to fraction form
    2,128/3,299 = 3,299/x
  3. Step 3: Cross multiply
    2,128x = 3,299 × 3,299
  4. Step 4: Simplify right side
    2,128x = 10,883,401
  5. Step 5: Solve for x
    x = 10,883,401/2,128
  6. Step 6: Final answer
    x = 5,114.38

Related Problems

Find third proportional to 1,064 and 1,649.50
Half scale
Find third proportional to 4,256 and 6,598
Double scale
Find third proportional to 2,130 and 3,302
Similar ratio
Find third proportional to 3,192 and 4,948.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.