Home / 10,324-13,806

Finding the Third Proportional to 10,324 and 13,806

Calculator

Solution

The third proportional to 10,324 and 13,806 is: 18,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324 : 13,806 = 13,806 : x
  2. Step 2: Convert to fraction form
    10,324/13,806 = 13,806/x
  3. Step 3: Cross multiply
    10,324x = 13,806 × 13,806
  4. Step 4: Simplify right side
    10,324x = 190,605,636
  5. Step 5: Solve for x
    x = 190,605,636/10,324
  6. Step 6: Final answer
    x = 18,462.38

Related Problems

Find third proportional to 5,162 and 6,903
Half scale
Find third proportional to 20,648 and 27,612
Double scale
Find third proportional to 10,326 and 13,809
Similar ratio
Find third proportional to 15,486 and 20,709
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.