Home / 10,199-20,821

Finding the Third Proportional to 10,199 and 20,821

Calculator

Solution

The third proportional to 10,199 and 20,821 is: 42,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199 : 20,821 = 20,821 : x
  2. Step 2: Convert to fraction form
    10,199/20,821 = 20,821/x
  3. Step 3: Cross multiply
    10,199x = 20,821 × 20,821
  4. Step 4: Simplify right side
    10,199x = 433,514,041
  5. Step 5: Solve for x
    x = 433,514,041/10,199
  6. Step 6: Final answer
    x = 42,505.54

Related Problems

Find third proportional to 5,099.50 and 10,410.50
Half scale
Find third proportional to 20,398 and 41,642
Double scale
Find third proportional to 10,201 and 20,825
Similar ratio
Find third proportional to 15,298.50 and 31,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.