Home / 6,209-11,689

Finding the Third Proportional to 6,209 and 11,689

Calculator

Solution

The third proportional to 6,209 and 11,689 is: 22,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209 : 11,689 = 11,689 : x
  2. Step 2: Convert to fraction form
    6,209/11,689 = 11,689/x
  3. Step 3: Cross multiply
    6,209x = 11,689 × 11,689
  4. Step 4: Simplify right side
    6,209x = 136,632,721
  5. Step 5: Solve for x
    x = 136,632,721/6,209
  6. Step 6: Final answer
    x = 22,005.59

Related Problems

Find third proportional to 3,104.50 and 5,844.50
Half scale
Find third proportional to 12,418 and 23,378
Double scale
Find third proportional to 6,211 and 11,693
Similar ratio
Find third proportional to 9,313.50 and 17,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.