Home / 13,396-20,498

Finding the Third Proportional to 13,396 and 20,498

Calculator

Solution

The third proportional to 13,396 and 20,498 is: 31,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396 : 20,498 = 20,498 : x
  2. Step 2: Convert to fraction form
    13,396/20,498 = 20,498/x
  3. Step 3: Cross multiply
    13,396x = 20,498 × 20,498
  4. Step 4: Simplify right side
    13,396x = 420,168,004
  5. Step 5: Solve for x
    x = 420,168,004/13,396
  6. Step 6: Final answer
    x = 31,365.18

Related Problems

Find third proportional to 6,698 and 10,249
Half scale
Find third proportional to 26,792 and 40,996
Double scale
Find third proportional to 13,398 and 20,501
Similar ratio
Find third proportional to 20,094 and 30,747
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.