Home / 7,828-11,743

Finding the Third Proportional to 7,828 and 11,743

Calculator

Solution

The third proportional to 7,828 and 11,743 is: 17,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828 : 11,743 = 11,743 : x
  2. Step 2: Convert to fraction form
    7,828/11,743 = 11,743/x
  3. Step 3: Cross multiply
    7,828x = 11,743 × 11,743
  4. Step 4: Simplify right side
    7,828x = 137,898,049
  5. Step 5: Solve for x
    x = 137,898,049/7,828
  6. Step 6: Final answer
    x = 17,616.00

Related Problems

Find third proportional to 3,914 and 5,871.50
Half scale
Find third proportional to 15,656 and 23,486
Double scale
Find third proportional to 7,830 and 11,746
Similar ratio
Find third proportional to 11,742 and 17,614.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.