Home / 8,215-13,213

Finding the Third Proportional to 8,215 and 13,213

Calculator

Solution

The third proportional to 8,215 and 13,213 is: 21,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215 : 13,213 = 13,213 : x
  2. Step 2: Convert to fraction form
    8,215/13,213 = 13,213/x
  3. Step 3: Cross multiply
    8,215x = 13,213 × 13,213
  4. Step 4: Simplify right side
    8,215x = 174,583,369
  5. Step 5: Solve for x
    x = 174,583,369/8,215
  6. Step 6: Final answer
    x = 21,251.78

Related Problems

Find third proportional to 4,107.50 and 6,606.50
Half scale
Find third proportional to 16,430 and 26,426
Double scale
Find third proportional to 8,217 and 13,216
Similar ratio
Find third proportional to 12,322.50 and 19,819.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.