Home / 6,821-7,373

Finding the Third Proportional to 6,821 and 7,373

Calculator

Solution

The third proportional to 6,821 and 7,373 is: 7,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821 : 7,373 = 7,373 : x
  2. Step 2: Convert to fraction form
    6,821/7,373 = 7,373/x
  3. Step 3: Cross multiply
    6,821x = 7,373 × 7,373
  4. Step 4: Simplify right side
    6,821x = 54,361,129
  5. Step 5: Solve for x
    x = 54,361,129/6,821
  6. Step 6: Final answer
    x = 7,969.67

Related Problems

Find third proportional to 3,410.50 and 3,686.50
Half scale
Find third proportional to 13,642 and 14,746
Double scale
Find third proportional to 6,823 and 7,375
Similar ratio
Find third proportional to 10,231.50 and 11,059.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.