Home / 10,692-16,102

Finding the Third Proportional to 10,692 and 16,102

Calculator

Solution

The third proportional to 10,692 and 16,102 is: 24,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 16,102 = 16,102 : x
  2. Step 2: Convert to fraction form
    10,692/16,102 = 16,102/x
  3. Step 3: Cross multiply
    10,692x = 16,102 × 16,102
  4. Step 4: Simplify right side
    10,692x = 259,274,404
  5. Step 5: Solve for x
    x = 259,274,404/10,692
  6. Step 6: Final answer
    x = 24,249.38

Related Problems

Find third proportional to 5,346 and 8,051
Half scale
Find third proportional to 21,384 and 32,204
Double scale
Find third proportional to 10,694 and 16,105
Similar ratio
Find third proportional to 16,038 and 24,153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.