Home / 5,406-8,484

Finding the Third Proportional to 5,406 and 8,484

Calculator

Solution

The third proportional to 5,406 and 8,484 is: 13,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 8,484 = 8,484 : x
  2. Step 2: Convert to fraction form
    5,406/8,484 = 8,484/x
  3. Step 3: Cross multiply
    5,406x = 8,484 × 8,484
  4. Step 4: Simplify right side
    5,406x = 71,978,256
  5. Step 5: Solve for x
    x = 71,978,256/5,406
  6. Step 6: Final answer
    x = 13,314.51

Related Problems

Find third proportional to 2,703 and 4,242
Half scale
Find third proportional to 10,812 and 16,968
Double scale
Find third proportional to 5,408 and 8,487
Similar ratio
Find third proportional to 8,109 and 12,726
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.