Home / 6,870-11,358

Finding the Third Proportional to 6,870 and 11,358

Calculator

Solution

The third proportional to 6,870 and 11,358 is: 18,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870 : 11,358 = 11,358 : x
  2. Step 2: Convert to fraction form
    6,870/11,358 = 11,358/x
  3. Step 3: Cross multiply
    6,870x = 11,358 × 11,358
  4. Step 4: Simplify right side
    6,870x = 129,004,164
  5. Step 5: Solve for x
    x = 129,004,164/6,870
  6. Step 6: Final answer
    x = 18,777.90

Related Problems

Find third proportional to 3,435 and 5,679
Half scale
Find third proportional to 13,740 and 22,716
Double scale
Find third proportional to 6,872 and 11,361
Similar ratio
Find third proportional to 10,305 and 17,037
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.