Home / 726.75-1,782.38

Finding the Third Proportional to 726.75 and 1,782.38

Calculator

Solution

The third proportional to 726.75 and 1,782.38 is: 4,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,782.38 = 1,782.38 : x
  2. Step 2: Convert to fraction form
    726.75/1,782.38 = 1,782.38/x
  3. Step 3: Cross multiply
    726.75x = 1,782.38 × 1,782.38
  4. Step 4: Simplify right side
    726.75x = 3,176,860.64
  5. Step 5: Solve for x
    x = 3,176,860.64/726.75
  6. Step 6: Final answer
    x = 4,371.33

Related Problems

Find third proportional to 363.38 and 891.19
Half scale
Find third proportional to 1,453.50 and 3,564.75
Double scale
Find third proportional to 729 and 1,787
Similar ratio
Find third proportional to 1,090.13 and 2,673.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.