Home / 8,311-11,197

Finding the Third Proportional to 8,311 and 11,197

Calculator

Solution

The third proportional to 8,311 and 11,197 is: 15,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311 : 11,197 = 11,197 : x
  2. Step 2: Convert to fraction form
    8,311/11,197 = 11,197/x
  3. Step 3: Cross multiply
    8,311x = 11,197 × 11,197
  4. Step 4: Simplify right side
    8,311x = 125,372,809
  5. Step 5: Solve for x
    x = 125,372,809/8,311
  6. Step 6: Final answer
    x = 15,085.17

Related Problems

Find third proportional to 4,155.50 and 5,598.50
Half scale
Find third proportional to 16,622 and 22,394
Double scale
Find third proportional to 8,313 and 11,200
Similar ratio
Find third proportional to 12,466.50 and 16,795.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.