Home / 10,638-14,067

Finding the Third Proportional to 10,638 and 14,067

Calculator

Solution

The third proportional to 10,638 and 14,067 is: 18,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 14,067 = 14,067 : x
  2. Step 2: Convert to fraction form
    10,638/14,067 = 14,067/x
  3. Step 3: Cross multiply
    10,638x = 14,067 × 14,067
  4. Step 4: Simplify right side
    10,638x = 197,880,489
  5. Step 5: Solve for x
    x = 197,880,489/10,638
  6. Step 6: Final answer
    x = 18,601.29

Related Problems

Find third proportional to 5,319 and 7,033.50
Half scale
Find third proportional to 21,276 and 28,134
Double scale
Find third proportional to 10,640 and 14,070
Similar ratio
Find third proportional to 15,957 and 21,100.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.