Home / 832.78-1,306.41

Finding the Third Proportional to 832.78 and 1,306.41

Calculator

Solution

The third proportional to 832.78 and 1,306.41 is: 2,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.78 : 1,306.41 = 1,306.41 : x
  2. Step 2: Convert to fraction form
    832.78/1,306.41 = 1,306.41/x
  3. Step 3: Cross multiply
    832.78x = 1,306.41 × 1,306.41
  4. Step 4: Simplify right side
    832.78x = 1,706,697.29
  5. Step 5: Solve for x
    x = 1,706,697.29/832.78
  6. Step 6: Final answer
    x = 2,049.39

Related Problems

Find third proportional to 416.39 and 653.20
Half scale
Find third proportional to 1,665.56 and 2,612.81
Double scale
Find third proportional to 835 and 1,310
Similar ratio
Find third proportional to 1,249.17 and 1,959.61
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.