Home / 7,002-9,239

Finding the Third Proportional to 7,002 and 9,239

Calculator

Solution

The third proportional to 7,002 and 9,239 is: 12,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 9,239 = 9,239 : x
  2. Step 2: Convert to fraction form
    7,002/9,239 = 9,239/x
  3. Step 3: Cross multiply
    7,002x = 9,239 × 9,239
  4. Step 4: Simplify right side
    7,002x = 85,359,121
  5. Step 5: Solve for x
    x = 85,359,121/7,002
  6. Step 6: Final answer
    x = 12,190.68

Related Problems

Find third proportional to 3,501 and 4,619.50
Half scale
Find third proportional to 14,004 and 18,478
Double scale
Find third proportional to 7,004 and 9,242
Similar ratio
Find third proportional to 10,503 and 13,858.50
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.