Home / 8,214-13,089

Finding the Third Proportional to 8,214 and 13,089

Calculator

Solution

The third proportional to 8,214 and 13,089 is: 20,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214 : 13,089 = 13,089 : x
  2. Step 2: Convert to fraction form
    8,214/13,089 = 13,089/x
  3. Step 3: Cross multiply
    8,214x = 13,089 × 13,089
  4. Step 4: Simplify right side
    8,214x = 171,321,921
  5. Step 5: Solve for x
    x = 171,321,921/8,214
  6. Step 6: Final answer
    x = 20,857.31

Related Problems

Find third proportional to 4,107 and 6,544.50
Half scale
Find third proportional to 16,428 and 26,178
Double scale
Find third proportional to 8,216 and 13,092
Similar ratio
Find third proportional to 12,321 and 19,633.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.