Home / 6,823-14,386

Finding the Third Proportional to 6,823 and 14,386

Calculator

Solution

The third proportional to 6,823 and 14,386 is: 30,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 14,386 = 14,386 : x
  2. Step 2: Convert to fraction form
    6,823/14,386 = 14,386/x
  3. Step 3: Cross multiply
    6,823x = 14,386 × 14,386
  4. Step 4: Simplify right side
    6,823x = 206,956,996
  5. Step 5: Solve for x
    x = 206,956,996/6,823
  6. Step 6: Final answer
    x = 30,332.26

Related Problems

Find third proportional to 3,411.50 and 7,193
Half scale
Find third proportional to 13,646 and 28,772
Double scale
Find third proportional to 6,825 and 14,390
Similar ratio
Find third proportional to 10,234.50 and 21,579
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.