Home / 6,828-10,315

Finding the Third Proportional to 6,828 and 10,315

Calculator

Solution

The third proportional to 6,828 and 10,315 is: 15,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 10,315 = 10,315 : x
  2. Step 2: Convert to fraction form
    6,828/10,315 = 10,315/x
  3. Step 3: Cross multiply
    6,828x = 10,315 × 10,315
  4. Step 4: Simplify right side
    6,828x = 106,399,225
  5. Step 5: Solve for x
    x = 106,399,225/6,828
  6. Step 6: Final answer
    x = 15,582.78

Related Problems

Find third proportional to 3,414 and 5,157.50
Half scale
Find third proportional to 13,656 and 20,630
Double scale
Find third proportional to 6,830 and 10,318
Similar ratio
Find third proportional to 10,242 and 15,472.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.