Home / 7,086-9,323

Finding the Third Proportional to 7,086 and 9,323

Calculator

Solution

The third proportional to 7,086 and 9,323 is: 12,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 9,323 = 9,323 : x
  2. Step 2: Convert to fraction form
    7,086/9,323 = 9,323/x
  3. Step 3: Cross multiply
    7,086x = 9,323 × 9,323
  4. Step 4: Simplify right side
    7,086x = 86,918,329
  5. Step 5: Solve for x
    x = 86,918,329/7,086
  6. Step 6: Final answer
    x = 12,266.21

Related Problems

Find third proportional to 3,543 and 4,661.50
Half scale
Find third proportional to 14,172 and 18,646
Double scale
Find third proportional to 7,088 and 9,326
Similar ratio
Find third proportional to 10,629 and 13,984.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.