Home / 6,584-8,000

Finding the Third Proportional to 6,584 and 8,000

Calculator

Solution

The third proportional to 6,584 and 8,000 is: 9,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 8,000 = 8,000 : x
  2. Step 2: Convert to fraction form
    6,584/8,000 = 8,000/x
  3. Step 3: Cross multiply
    6,584x = 8,000 × 8,000
  4. Step 4: Simplify right side
    6,584x = 64,000,000
  5. Step 5: Solve for x
    x = 64,000,000/6,584
  6. Step 6: Final answer
    x = 9,720.53

Related Problems

Find third proportional to 3,292 and 4,000
Half scale
Find third proportional to 13,168 and 16,000
Double scale
Find third proportional to 6,586 and 8,002
Similar ratio
Find third proportional to 9,876 and 12,000
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.