Home / 8,321-9,041

Finding the Third Proportional to 8,321 and 9,041

Calculator

Solution

The third proportional to 8,321 and 9,041 is: 9,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321 : 9,041 = 9,041 : x
  2. Step 2: Convert to fraction form
    8,321/9,041 = 9,041/x
  3. Step 3: Cross multiply
    8,321x = 9,041 × 9,041
  4. Step 4: Simplify right side
    8,321x = 81,739,681
  5. Step 5: Solve for x
    x = 81,739,681/8,321
  6. Step 6: Final answer
    x = 9,823.30

Related Problems

Find third proportional to 4,160.50 and 4,520.50
Half scale
Find third proportional to 16,642 and 18,082
Double scale
Find third proportional to 8,323 and 9,043
Similar ratio
Find third proportional to 12,481.50 and 13,561.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.