Home / 8,201-16,861

Finding the Third Proportional to 8,201 and 16,861

Calculator

Solution

The third proportional to 8,201 and 16,861 is: 34,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201 : 16,861 = 16,861 : x
  2. Step 2: Convert to fraction form
    8,201/16,861 = 16,861/x
  3. Step 3: Cross multiply
    8,201x = 16,861 × 16,861
  4. Step 4: Simplify right side
    8,201x = 284,293,321
  5. Step 5: Solve for x
    x = 284,293,321/8,201
  6. Step 6: Final answer
    x = 34,665.69

Related Problems

Find third proportional to 4,100.50 and 8,430.50
Half scale
Find third proportional to 16,402 and 33,722
Double scale
Find third proportional to 8,203 and 16,865
Similar ratio
Find third proportional to 12,301.50 and 25,291.50
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.