Home / 8,085-12,461

Finding the Third Proportional to 8,085 and 12,461

Calculator

Solution

The third proportional to 8,085 and 12,461 is: 19,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085 : 12,461 = 12,461 : x
  2. Step 2: Convert to fraction form
    8,085/12,461 = 12,461/x
  3. Step 3: Cross multiply
    8,085x = 12,461 × 12,461
  4. Step 4: Simplify right side
    8,085x = 155,276,521
  5. Step 5: Solve for x
    x = 155,276,521/8,085
  6. Step 6: Final answer
    x = 19,205.51

Related Problems

Find third proportional to 4,042.50 and 6,230.50
Half scale
Find third proportional to 16,170 and 24,922
Double scale
Find third proportional to 8,087 and 12,464
Similar ratio
Find third proportional to 12,127.50 and 18,691.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.