Home / 106,326-231,228

Finding the Third Proportional to 106,326 and 231,228

Calculator

Solution

The third proportional to 106,326 and 231,228 is: 502,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326 : 231,228 = 231,228 : x
  2. Step 2: Convert to fraction form
    106,326/231,228 = 231,228/x
  3. Step 3: Cross multiply
    106,326x = 231,228 × 231,228
  4. Step 4: Simplify right side
    106,326x = 53,466,387,984
  5. Step 5: Solve for x
    x = 53,466,387,984/106,326
  6. Step 6: Final answer
    x = 502,853.38

Related Problems

Find third proportional to 53,163 and 115,614
Half scale
Find third proportional to 212,652 and 462,456
Double scale
Find third proportional to 106,328 and 231,232
Similar ratio
Find third proportional to 159,489 and 346,842
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.