Home / 9,676-16,411

Finding the Third Proportional to 9,676 and 16,411

Calculator

Solution

The third proportional to 9,676 and 16,411 is: 27,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676 : 16,411 = 16,411 : x
  2. Step 2: Convert to fraction form
    9,676/16,411 = 16,411/x
  3. Step 3: Cross multiply
    9,676x = 16,411 × 16,411
  4. Step 4: Simplify right side
    9,676x = 269,320,921
  5. Step 5: Solve for x
    x = 269,320,921/9,676
  6. Step 6: Final answer
    x = 27,833.91

Related Problems

Find third proportional to 4,838 and 8,205.50
Half scale
Find third proportional to 19,352 and 32,822
Double scale
Find third proportional to 9,678 and 16,414
Similar ratio
Find third proportional to 14,514 and 24,616.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.