Home / 6,984-10,653

Finding the Third Proportional to 6,984 and 10,653

Calculator

Solution

The third proportional to 6,984 and 10,653 is: 16,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 10,653 = 10,653 : x
  2. Step 2: Convert to fraction form
    6,984/10,653 = 10,653/x
  3. Step 3: Cross multiply
    6,984x = 10,653 × 10,653
  4. Step 4: Simplify right side
    6,984x = 113,486,409
  5. Step 5: Solve for x
    x = 113,486,409/6,984
  6. Step 6: Final answer
    x = 16,249.49

Related Problems

Find third proportional to 3,492 and 5,326.50
Half scale
Find third proportional to 13,968 and 21,306
Double scale
Find third proportional to 6,986 and 10,656
Similar ratio
Find third proportional to 10,476 and 15,979.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.