Home / 13,691-20,509

Finding the Third Proportional to 13,691 and 20,509

Calculator

Solution

The third proportional to 13,691 and 20,509 is: 30,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691 : 20,509 = 20,509 : x
  2. Step 2: Convert to fraction form
    13,691/20,509 = 20,509/x
  3. Step 3: Cross multiply
    13,691x = 20,509 × 20,509
  4. Step 4: Simplify right side
    13,691x = 420,619,081
  5. Step 5: Solve for x
    x = 420,619,081/13,691
  6. Step 6: Final answer
    x = 30,722.31

Related Problems

Find third proportional to 6,845.50 and 10,254.50
Half scale
Find third proportional to 27,382 and 41,018
Double scale
Find third proportional to 13,693 and 20,512
Similar ratio
Find third proportional to 20,536.50 and 30,763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.