Home / 106,970-230,868

Finding the Third Proportional to 106,970 and 230,868

Calculator

Solution

The third proportional to 106,970 and 230,868 is: 498,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970 : 230,868 = 230,868 : x
  2. Step 2: Convert to fraction form
    106,970/230,868 = 230,868/x
  3. Step 3: Cross multiply
    106,970x = 230,868 × 230,868
  4. Step 4: Simplify right side
    106,970x = 53,300,033,424
  5. Step 5: Solve for x
    x = 53,300,033,424/106,970
  6. Step 6: Final answer
    x = 498,270.86

Related Problems

Find third proportional to 53,485 and 115,434
Half scale
Find third proportional to 213,940 and 461,736
Double scale
Find third proportional to 106,972 and 230,872
Similar ratio
Find third proportional to 160,455 and 346,302
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.