Home / 10,810-16,411

Finding the Third Proportional to 10,810 and 16,411

Calculator

Solution

The third proportional to 10,810 and 16,411 is: 24,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 16,411 = 16,411 : x
  2. Step 2: Convert to fraction form
    10,810/16,411 = 16,411/x
  3. Step 3: Cross multiply
    10,810x = 16,411 × 16,411
  4. Step 4: Simplify right side
    10,810x = 269,320,921
  5. Step 5: Solve for x
    x = 269,320,921/10,810
  6. Step 6: Final answer
    x = 24,914.05

Related Problems

Find third proportional to 5,405 and 8,205.50
Half scale
Find third proportional to 21,620 and 32,822
Double scale
Find third proportional to 10,812 and 16,414
Similar ratio
Find third proportional to 16,215 and 24,616.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.