Home / 7,984-16,414

Finding the Third Proportional to 7,984 and 16,414

Calculator

Solution

The third proportional to 7,984 and 16,414 is: 33,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984 : 16,414 = 16,414 : x
  2. Step 2: Convert to fraction form
    7,984/16,414 = 16,414/x
  3. Step 3: Cross multiply
    7,984x = 16,414 × 16,414
  4. Step 4: Simplify right side
    7,984x = 269,419,396
  5. Step 5: Solve for x
    x = 269,419,396/7,984
  6. Step 6: Final answer
    x = 33,744.91

Related Problems

Find third proportional to 3,992 and 8,207
Half scale
Find third proportional to 15,968 and 32,828
Double scale
Find third proportional to 7,986 and 16,418
Similar ratio
Find third proportional to 11,976 and 24,621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.