Home / 51,002-110,474

Finding the Third Proportional to 51,002 and 110,474

Calculator

Solution

The third proportional to 51,002 and 110,474 is: 239,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,002 : 110,474 = 110,474 : x
  2. Step 2: Convert to fraction form
    51,002/110,474 = 110,474/x
  3. Step 3: Cross multiply
    51,002x = 110,474 × 110,474
  4. Step 4: Simplify right side
    51,002x = 12,204,504,676
  5. Step 5: Solve for x
    x = 12,204,504,676/51,002
  6. Step 6: Final answer
    x = 239,294.63

Related Problems

Find third proportional to 25,501 and 55,237
Half scale
Find third proportional to 102,004 and 220,948
Double scale
Find third proportional to 51,004 and 110,478
Similar ratio
Find third proportional to 76,503 and 165,711
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.