Home / 8,323-11,705

Finding the Third Proportional to 8,323 and 11,705

Calculator

Solution

The third proportional to 8,323 and 11,705 is: 16,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 11,705 = 11,705 : x
  2. Step 2: Convert to fraction form
    8,323/11,705 = 11,705/x
  3. Step 3: Cross multiply
    8,323x = 11,705 × 11,705
  4. Step 4: Simplify right side
    8,323x = 137,007,025
  5. Step 5: Solve for x
    x = 137,007,025/8,323
  6. Step 6: Final answer
    x = 16,461.25

Related Problems

Find third proportional to 4,161.50 and 5,852.50
Half scale
Find third proportional to 16,646 and 23,410
Double scale
Find third proportional to 8,325 and 11,708
Similar ratio
Find third proportional to 12,484.50 and 17,557.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.