Home / 6,812-10,524

Finding the Third Proportional to 6,812 and 10,524

Calculator

Solution

The third proportional to 6,812 and 10,524 is: 16,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812 : 10,524 = 10,524 : x
  2. Step 2: Convert to fraction form
    6,812/10,524 = 10,524/x
  3. Step 3: Cross multiply
    6,812x = 10,524 × 10,524
  4. Step 4: Simplify right side
    6,812x = 110,754,576
  5. Step 5: Solve for x
    x = 110,754,576/6,812
  6. Step 6: Final answer
    x = 16,258.75

Related Problems

Find third proportional to 3,406 and 5,262
Half scale
Find third proportional to 13,624 and 21,048
Double scale
Find third proportional to 6,814 and 10,527
Similar ratio
Find third proportional to 10,218 and 15,786
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.