Home / 7,969-16,589

Finding the Third Proportional to 7,969 and 16,589

Calculator

Solution

The third proportional to 7,969 and 16,589 is: 34,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969 : 16,589 = 16,589 : x
  2. Step 2: Convert to fraction form
    7,969/16,589 = 16,589/x
  3. Step 3: Cross multiply
    7,969x = 16,589 × 16,589
  4. Step 4: Simplify right side
    7,969x = 275,194,921
  5. Step 5: Solve for x
    x = 275,194,921/7,969
  6. Step 6: Final answer
    x = 34,533.18

Related Problems

Find third proportional to 3,984.50 and 8,294.50
Half scale
Find third proportional to 15,938 and 33,178
Double scale
Find third proportional to 7,971 and 16,593
Similar ratio
Find third proportional to 11,953.50 and 24,883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.