Home / 13,410-20,338

Finding the Third Proportional to 13,410 and 20,338

Calculator

Solution

The third proportional to 13,410 and 20,338 is: 30,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410 : 20,338 = 20,338 : x
  2. Step 2: Convert to fraction form
    13,410/20,338 = 20,338/x
  3. Step 3: Cross multiply
    13,410x = 20,338 × 20,338
  4. Step 4: Simplify right side
    13,410x = 413,634,244
  5. Step 5: Solve for x
    x = 413,634,244/13,410
  6. Step 6: Final answer
    x = 30,845.21

Related Problems

Find third proportional to 6,705 and 10,169
Half scale
Find third proportional to 26,820 and 40,676
Double scale
Find third proportional to 13,412 and 20,341
Similar ratio
Find third proportional to 20,115 and 30,507
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.