Home / 7,702-11,214

Finding the Third Proportional to 7,702 and 11,214

Calculator

Solution

The third proportional to 7,702 and 11,214 is: 16,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 11,214 = 11,214 : x
  2. Step 2: Convert to fraction form
    7,702/11,214 = 11,214/x
  3. Step 3: Cross multiply
    7,702x = 11,214 × 11,214
  4. Step 4: Simplify right side
    7,702x = 125,753,796
  5. Step 5: Solve for x
    x = 125,753,796/7,702
  6. Step 6: Final answer
    x = 16,327.42

Related Problems

Find third proportional to 3,851 and 5,607
Half scale
Find third proportional to 15,404 and 22,428
Double scale
Find third proportional to 7,704 and 11,217
Similar ratio
Find third proportional to 11,553 and 16,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.