Home / 10,809-14,319

Finding the Third Proportional to 10,809 and 14,319

Calculator

Solution

The third proportional to 10,809 and 14,319 is: 18,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 14,319 = 14,319 : x
  2. Step 2: Convert to fraction form
    10,809/14,319 = 14,319/x
  3. Step 3: Cross multiply
    10,809x = 14,319 × 14,319
  4. Step 4: Simplify right side
    10,809x = 205,033,761
  5. Step 5: Solve for x
    x = 205,033,761/10,809
  6. Step 6: Final answer
    x = 18,968.80

Related Problems

Find third proportional to 5,404.50 and 7,159.50
Half scale
Find third proportional to 21,618 and 28,638
Double scale
Find third proportional to 10,811 and 14,322
Similar ratio
Find third proportional to 16,213.50 and 21,478.50
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.