Home / 106,798-227,399

Finding the Third Proportional to 106,798 and 227,399

Calculator

Solution

The third proportional to 106,798 and 227,399 is: 484,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,798 : 227,399 = 227,399 : x
  2. Step 2: Convert to fraction form
    106,798/227,399 = 227,399/x
  3. Step 3: Cross multiply
    106,798x = 227,399 × 227,399
  4. Step 4: Simplify right side
    106,798x = 51,710,305,201
  5. Step 5: Solve for x
    x = 51,710,305,201/106,798
  6. Step 6: Final answer
    x = 484,187.95

Related Problems

Find third proportional to 53,399 and 113,699.50
Half scale
Find third proportional to 213,596 and 454,798
Double scale
Find third proportional to 106,800 and 227,403
Similar ratio
Find third proportional to 160,197 and 341,098.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.