Home / 8,001-16,511

Finding the Third Proportional to 8,001 and 16,511

Calculator

Solution

The third proportional to 8,001 and 16,511 is: 34,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 16,511 = 16,511 : x
  2. Step 2: Convert to fraction form
    8,001/16,511 = 16,511/x
  3. Step 3: Cross multiply
    8,001x = 16,511 × 16,511
  4. Step 4: Simplify right side
    8,001x = 272,613,121
  5. Step 5: Solve for x
    x = 272,613,121/8,001
  6. Step 6: Final answer
    x = 34,072.38

Related Problems

Find third proportional to 4,000.50 and 8,255.50
Half scale
Find third proportional to 16,002 and 33,022
Double scale
Find third proportional to 8,003 and 16,515
Similar ratio
Find third proportional to 12,001.50 and 24,766.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.