Home / 7,872-12,218

Finding the Third Proportional to 7,872 and 12,218

Calculator

Solution

The third proportional to 7,872 and 12,218 is: 18,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 12,218 = 12,218 : x
  2. Step 2: Convert to fraction form
    7,872/12,218 = 12,218/x
  3. Step 3: Cross multiply
    7,872x = 12,218 × 12,218
  4. Step 4: Simplify right side
    7,872x = 149,279,524
  5. Step 5: Solve for x
    x = 149,279,524/7,872
  6. Step 6: Final answer
    x = 18,963.35

Related Problems

Find third proportional to 3,936 and 6,109
Half scale
Find third proportional to 15,744 and 24,436
Double scale
Find third proportional to 7,874 and 12,221
Similar ratio
Find third proportional to 11,808 and 18,327
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.