Home / 10,002-14,405

Finding the Third Proportional to 10,002 and 14,405

Calculator

Solution

The third proportional to 10,002 and 14,405 is: 20,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 14,405 = 14,405 : x
  2. Step 2: Convert to fraction form
    10,002/14,405 = 14,405/x
  3. Step 3: Cross multiply
    10,002x = 14,405 × 14,405
  4. Step 4: Simplify right side
    10,002x = 207,504,025
  5. Step 5: Solve for x
    x = 207,504,025/10,002
  6. Step 6: Final answer
    x = 20,746.25

Related Problems

Find third proportional to 5,001 and 7,202.50
Half scale
Find third proportional to 20,004 and 28,810
Double scale
Find third proportional to 10,004 and 14,408
Similar ratio
Find third proportional to 15,003 and 21,607.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.