Home / 106,546-229,696

Finding the Third Proportional to 106,546 and 229,696

Calculator

Solution

The third proportional to 106,546 and 229,696 is: 495,187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546 : 229,696 = 229,696 : x
  2. Step 2: Convert to fraction form
    106,546/229,696 = 229,696/x
  3. Step 3: Cross multiply
    106,546x = 229,696 × 229,696
  4. Step 4: Simplify right side
    106,546x = 52,760,252,416
  5. Step 5: Solve for x
    x = 52,760,252,416/106,546
  6. Step 6: Final answer
    x = 495,187.55

Related Problems

Find third proportional to 53,273 and 114,848
Half scale
Find third proportional to 213,092 and 459,392
Double scale
Find third proportional to 106,548 and 229,700
Similar ratio
Find third proportional to 159,819 and 344,544
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.