Home / 10,408-15,396

Finding the Third Proportional to 10,408 and 15,396

Calculator

Solution

The third proportional to 10,408 and 15,396 is: 22,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 15,396 = 15,396 : x
  2. Step 2: Convert to fraction form
    10,408/15,396 = 15,396/x
  3. Step 3: Cross multiply
    10,408x = 15,396 × 15,396
  4. Step 4: Simplify right side
    10,408x = 237,036,816
  5. Step 5: Solve for x
    x = 237,036,816/10,408
  6. Step 6: Final answer
    x = 22,774.48

Related Problems

Find third proportional to 5,204 and 7,698
Half scale
Find third proportional to 20,816 and 30,792
Double scale
Find third proportional to 10,410 and 15,399
Similar ratio
Find third proportional to 15,612 and 23,094
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.