Home / 856.41-1,284.19

Finding the Third Proportional to 856.41 and 1,284.19

Calculator

Solution

The third proportional to 856.41 and 1,284.19 is: 1,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,284.19 = 1,284.19 : x
  2. Step 2: Convert to fraction form
    856.41/1,284.19 = 1,284.19/x
  3. Step 3: Cross multiply
    856.41x = 1,284.19 × 1,284.19
  4. Step 4: Simplify right side
    856.41x = 1,649,137.54
  5. Step 5: Solve for x
    x = 1,649,137.54/856.41
  6. Step 6: Final answer
    x = 1,925.65

Related Problems

Find third proportional to 428.20 and 642.09
Half scale
Find third proportional to 1,712.81 and 2,568.38
Double scale
Find third proportional to 858 and 1,287
Similar ratio
Find third proportional to 1,284.61 and 1,926.28
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.