Home / 14,208-21,509

Finding the Third Proportional to 14,208 and 21,509

Calculator

Solution

The third proportional to 14,208 and 21,509 is: 32,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208 : 21,509 = 21,509 : x
  2. Step 2: Convert to fraction form
    14,208/21,509 = 21,509/x
  3. Step 3: Cross multiply
    14,208x = 21,509 × 21,509
  4. Step 4: Simplify right side
    14,208x = 462,637,081
  5. Step 5: Solve for x
    x = 462,637,081/14,208
  6. Step 6: Final answer
    x = 32,561.73

Related Problems

Find third proportional to 7,104 and 10,754.50
Half scale
Find third proportional to 28,416 and 43,018
Double scale
Find third proportional to 14,210 and 21,512
Similar ratio
Find third proportional to 21,312 and 32,263.50
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.