Home / 4,212-5,784

Finding the Third Proportional to 4,212 and 5,784

Calculator

Solution

The third proportional to 4,212 and 5,784 is: 7,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 5,784 = 5,784 : x
  2. Step 2: Convert to fraction form
    4,212/5,784 = 5,784/x
  3. Step 3: Cross multiply
    4,212x = 5,784 × 5,784
  4. Step 4: Simplify right side
    4,212x = 33,454,656
  5. Step 5: Solve for x
    x = 33,454,656/4,212
  6. Step 6: Final answer
    x = 7,942.70

Related Problems

Find third proportional to 2,106 and 2,892
Half scale
Find third proportional to 8,424 and 11,568
Double scale
Find third proportional to 4,214 and 5,787
Similar ratio
Find third proportional to 6,318 and 8,676
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.