Home / 13,824-15,606

Finding the Third Proportional to 13,824 and 15,606

Calculator

Solution

The third proportional to 13,824 and 15,606 is: 17,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 15,606 = 15,606 : x
  2. Step 2: Convert to fraction form
    13,824/15,606 = 15,606/x
  3. Step 3: Cross multiply
    13,824x = 15,606 × 15,606
  4. Step 4: Simplify right side
    13,824x = 243,547,236
  5. Step 5: Solve for x
    x = 243,547,236/13,824
  6. Step 6: Final answer
    x = 17,617.71

Related Problems

Find third proportional to 6,912 and 7,803
Half scale
Find third proportional to 27,648 and 31,212
Double scale
Find third proportional to 13,826 and 15,608
Similar ratio
Find third proportional to 20,736 and 23,409
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.