Home / 7,972-16,346

Finding the Third Proportional to 7,972 and 16,346

Calculator

Solution

The third proportional to 7,972 and 16,346 is: 33,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 16,346 = 16,346 : x
  2. Step 2: Convert to fraction form
    7,972/16,346 = 16,346/x
  3. Step 3: Cross multiply
    7,972x = 16,346 × 16,346
  4. Step 4: Simplify right side
    7,972x = 267,191,716
  5. Step 5: Solve for x
    x = 267,191,716/7,972
  6. Step 6: Final answer
    x = 33,516.27

Related Problems

Find third proportional to 3,986 and 8,173
Half scale
Find third proportional to 15,944 and 32,692
Double scale
Find third proportional to 7,974 and 16,350
Similar ratio
Find third proportional to 11,958 and 24,519
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.