Home / 8,184-12,803

Finding the Third Proportional to 8,184 and 12,803

Calculator

Solution

The third proportional to 8,184 and 12,803 is: 20,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 12,803 = 12,803 : x
  2. Step 2: Convert to fraction form
    8,184/12,803 = 12,803/x
  3. Step 3: Cross multiply
    8,184x = 12,803 × 12,803
  4. Step 4: Simplify right side
    8,184x = 163,916,809
  5. Step 5: Solve for x
    x = 163,916,809/8,184
  6. Step 6: Final answer
    x = 20,028.94

Related Problems

Find third proportional to 4,092 and 6,401.50
Half scale
Find third proportional to 16,368 and 25,606
Double scale
Find third proportional to 8,186 and 12,806
Similar ratio
Find third proportional to 12,276 and 19,204.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.