Home / 7,827-16,019

Finding the Third Proportional to 7,827 and 16,019

Calculator

Solution

The third proportional to 7,827 and 16,019 is: 32,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 16,019 = 16,019 : x
  2. Step 2: Convert to fraction form
    7,827/16,019 = 16,019/x
  3. Step 3: Cross multiply
    7,827x = 16,019 × 16,019
  4. Step 4: Simplify right side
    7,827x = 256,608,361
  5. Step 5: Solve for x
    x = 256,608,361/7,827
  6. Step 6: Final answer
    x = 32,785.02

Related Problems

Find third proportional to 3,913.50 and 8,009.50
Half scale
Find third proportional to 15,654 and 32,038
Double scale
Find third proportional to 7,829 and 16,023
Similar ratio
Find third proportional to 11,740.50 and 24,028.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.