Home / 6,862-12,698

Finding the Third Proportional to 6,862 and 12,698

Calculator

Solution

The third proportional to 6,862 and 12,698 is: 23,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862 : 12,698 = 12,698 : x
  2. Step 2: Convert to fraction form
    6,862/12,698 = 12,698/x
  3. Step 3: Cross multiply
    6,862x = 12,698 × 12,698
  4. Step 4: Simplify right side
    6,862x = 161,239,204
  5. Step 5: Solve for x
    x = 161,239,204/6,862
  6. Step 6: Final answer
    x = 23,497.41

Related Problems

Find third proportional to 3,431 and 6,349
Half scale
Find third proportional to 13,724 and 25,396
Double scale
Find third proportional to 6,864 and 12,702
Similar ratio
Find third proportional to 10,293 and 19,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.