Home / 106,906-230,761

Finding the Third Proportional to 106,906 and 230,761

Calculator

Solution

The third proportional to 106,906 and 230,761 is: 498,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906 : 230,761 = 230,761 : x
  2. Step 2: Convert to fraction form
    106,906/230,761 = 230,761/x
  3. Step 3: Cross multiply
    106,906x = 230,761 × 230,761
  4. Step 4: Simplify right side
    106,906x = 53,250,639,121
  5. Step 5: Solve for x
    x = 53,250,639,121/106,906
  6. Step 6: Final answer
    x = 498,107.11

Related Problems

Find third proportional to 53,453 and 115,380.50
Half scale
Find third proportional to 213,812 and 461,522
Double scale
Find third proportional to 106,908 and 230,765
Similar ratio
Find third proportional to 160,359 and 346,141.50
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.