Home / 3,912-6,507

Finding the Third Proportional to 3,912 and 6,507

Calculator

Solution

The third proportional to 3,912 and 6,507 is: 10,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 6,507 = 6,507 : x
  2. Step 2: Convert to fraction form
    3,912/6,507 = 6,507/x
  3. Step 3: Cross multiply
    3,912x = 6,507 × 6,507
  4. Step 4: Simplify right side
    3,912x = 42,341,049
  5. Step 5: Solve for x
    x = 42,341,049/3,912
  6. Step 6: Final answer
    x = 10,823.38

Related Problems

Find third proportional to 1,956 and 3,253.50
Half scale
Find third proportional to 7,824 and 13,014
Double scale
Find third proportional to 3,914 and 6,510
Similar ratio
Find third proportional to 5,868 and 9,760.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.