Home / 6,998-9,507

Finding the Third Proportional to 6,998 and 9,507

Calculator

Solution

The third proportional to 6,998 and 9,507 is: 12,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 9,507 = 9,507 : x
  2. Step 2: Convert to fraction form
    6,998/9,507 = 9,507/x
  3. Step 3: Cross multiply
    6,998x = 9,507 × 9,507
  4. Step 4: Simplify right side
    6,998x = 90,383,049
  5. Step 5: Solve for x
    x = 90,383,049/6,998
  6. Step 6: Final answer
    x = 12,915.55

Related Problems

Find third proportional to 3,499 and 4,753.50
Half scale
Find third proportional to 13,996 and 19,014
Double scale
Find third proportional to 7,000 and 9,510
Similar ratio
Find third proportional to 10,497 and 14,260.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.