Home / 6,413-14,284

Finding the Third Proportional to 6,413 and 14,284

Calculator

Solution

The third proportional to 6,413 and 14,284 is: 31,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413 : 14,284 = 14,284 : x
  2. Step 2: Convert to fraction form
    6,413/14,284 = 14,284/x
  3. Step 3: Cross multiply
    6,413x = 14,284 × 14,284
  4. Step 4: Simplify right side
    6,413x = 204,032,656
  5. Step 5: Solve for x
    x = 204,032,656/6,413
  6. Step 6: Final answer
    x = 31,815.48

Related Problems

Find third proportional to 3,206.50 and 7,142
Half scale
Find third proportional to 12,826 and 28,568
Double scale
Find third proportional to 6,415 and 14,288
Similar ratio
Find third proportional to 9,619.50 and 21,426
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.