Home / 1,638-3,564

Finding the Third Proportional to 1,638 and 3,564

Calculator

Solution

The third proportional to 1,638 and 3,564 is: 7,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638 : 3,564 = 3,564 : x
  2. Step 2: Convert to fraction form
    1,638/3,564 = 3,564/x
  3. Step 3: Cross multiply
    1,638x = 3,564 × 3,564
  4. Step 4: Simplify right side
    1,638x = 12,702,096
  5. Step 5: Solve for x
    x = 12,702,096/1,638
  6. Step 6: Final answer
    x = 7,754.64

Related Problems

Find third proportional to 819 and 1,782
Half scale
Find third proportional to 3,276 and 7,128
Double scale
Find third proportional to 1,640 and 3,568
Similar ratio
Find third proportional to 2,457 and 5,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.