Home / 10,989-16,407

Finding the Third Proportional to 10,989 and 16,407

Calculator

Solution

The third proportional to 10,989 and 16,407 is: 24,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 16,407 = 16,407 : x
  2. Step 2: Convert to fraction form
    10,989/16,407 = 16,407/x
  3. Step 3: Cross multiply
    10,989x = 16,407 × 16,407
  4. Step 4: Simplify right side
    10,989x = 269,189,649
  5. Step 5: Solve for x
    x = 269,189,649/10,989
  6. Step 6: Final answer
    x = 24,496.28

Related Problems

Find third proportional to 5,494.50 and 8,203.50
Half scale
Find third proportional to 21,978 and 32,814
Double scale
Find third proportional to 10,991 and 16,410
Similar ratio
Find third proportional to 16,483.50 and 24,610.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.