Home / 13,454-20,231

Finding the Third Proportional to 13,454 and 20,231

Calculator

Solution

The third proportional to 13,454 and 20,231 is: 30,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454 : 20,231 = 20,231 : x
  2. Step 2: Convert to fraction form
    13,454/20,231 = 20,231/x
  3. Step 3: Cross multiply
    13,454x = 20,231 × 20,231
  4. Step 4: Simplify right side
    13,454x = 409,293,361
  5. Step 5: Solve for x
    x = 409,293,361/13,454
  6. Step 6: Final answer
    x = 30,421.69

Related Problems

Find third proportional to 6,727 and 10,115.50
Half scale
Find third proportional to 26,908 and 40,462
Double scale
Find third proportional to 13,456 and 20,234
Similar ratio
Find third proportional to 20,181 and 30,346.50
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.