Home / 6,930-12,312

Finding the Third Proportional to 6,930 and 12,312

Calculator

Solution

The third proportional to 6,930 and 12,312 is: 21,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930 : 12,312 = 12,312 : x
  2. Step 2: Convert to fraction form
    6,930/12,312 = 12,312/x
  3. Step 3: Cross multiply
    6,930x = 12,312 × 12,312
  4. Step 4: Simplify right side
    6,930x = 151,585,344
  5. Step 5: Solve for x
    x = 151,585,344/6,930
  6. Step 6: Final answer
    x = 21,873.79

Related Problems

Find third proportional to 3,465 and 6,156
Half scale
Find third proportional to 13,860 and 24,624
Double scale
Find third proportional to 6,932 and 12,316
Similar ratio
Find third proportional to 10,395 and 18,468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.