Home / 7,678-11,744

Finding the Third Proportional to 7,678 and 11,744

Calculator

Solution

The third proportional to 7,678 and 11,744 is: 17,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 11,744 = 11,744 : x
  2. Step 2: Convert to fraction form
    7,678/11,744 = 11,744/x
  3. Step 3: Cross multiply
    7,678x = 11,744 × 11,744
  4. Step 4: Simplify right side
    7,678x = 137,921,536
  5. Step 5: Solve for x
    x = 137,921,536/7,678
  6. Step 6: Final answer
    x = 17,963.21

Related Problems

Find third proportional to 3,839 and 5,872
Half scale
Find third proportional to 15,356 and 23,488
Double scale
Find third proportional to 7,680 and 11,747
Similar ratio
Find third proportional to 11,517 and 17,616
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.