Home / 8,440-13,411

Finding the Third Proportional to 8,440 and 13,411

Calculator

Solution

The third proportional to 8,440 and 13,411 is: 21,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 13,411 = 13,411 : x
  2. Step 2: Convert to fraction form
    8,440/13,411 = 13,411/x
  3. Step 3: Cross multiply
    8,440x = 13,411 × 13,411
  4. Step 4: Simplify right side
    8,440x = 179,854,921
  5. Step 5: Solve for x
    x = 179,854,921/8,440
  6. Step 6: Final answer
    x = 21,309.82

Related Problems

Find third proportional to 4,220 and 6,705.50
Half scale
Find third proportional to 16,880 and 26,822
Double scale
Find third proportional to 8,442 and 13,414
Similar ratio
Find third proportional to 12,660 and 20,116.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.