Home / 106,814-227,434

Finding the Third Proportional to 106,814 and 227,434

Calculator

Solution

The third proportional to 106,814 and 227,434 is: 484,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814 : 227,434 = 227,434 : x
  2. Step 2: Convert to fraction form
    106,814/227,434 = 227,434/x
  3. Step 3: Cross multiply
    106,814x = 227,434 × 227,434
  4. Step 4: Simplify right side
    106,814x = 51,726,224,356
  5. Step 5: Solve for x
    x = 51,726,224,356/106,814
  6. Step 6: Final answer
    x = 484,264.46

Related Problems

Find third proportional to 53,407 and 113,717
Half scale
Find third proportional to 213,628 and 454,868
Double scale
Find third proportional to 106,816 and 227,438
Similar ratio
Find third proportional to 160,221 and 341,151
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.