Home / 10,706-16,029

Finding the Third Proportional to 10,706 and 16,029

Calculator

Solution

The third proportional to 10,706 and 16,029 is: 23,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706 : 16,029 = 16,029 : x
  2. Step 2: Convert to fraction form
    10,706/16,029 = 16,029/x
  3. Step 3: Cross multiply
    10,706x = 16,029 × 16,029
  4. Step 4: Simplify right side
    10,706x = 256,928,841
  5. Step 5: Solve for x
    x = 256,928,841/10,706
  6. Step 6: Final answer
    x = 23,998.58

Related Problems

Find third proportional to 5,353 and 8,014.50
Half scale
Find third proportional to 21,412 and 32,058
Double scale
Find third proportional to 10,708 and 16,032
Similar ratio
Find third proportional to 16,059 and 24,043.50
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.