Home / 8,397-13,689

Finding the Third Proportional to 8,397 and 13,689

Calculator

Solution

The third proportional to 8,397 and 13,689 is: 22,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397 : 13,689 = 13,689 : x
  2. Step 2: Convert to fraction form
    8,397/13,689 = 13,689/x
  3. Step 3: Cross multiply
    8,397x = 13,689 × 13,689
  4. Step 4: Simplify right side
    8,397x = 187,388,721
  5. Step 5: Solve for x
    x = 187,388,721/8,397
  6. Step 6: Final answer
    x = 22,316.15

Related Problems

Find third proportional to 4,198.50 and 6,844.50
Half scale
Find third proportional to 16,794 and 27,378
Double scale
Find third proportional to 8,399 and 13,692
Similar ratio
Find third proportional to 12,595.50 and 20,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.