Home / 106,524-231,840

Finding the Third Proportional to 106,524 and 231,840

Calculator

Solution

The third proportional to 106,524 and 231,840 is: 504,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524 : 231,840 = 231,840 : x
  2. Step 2: Convert to fraction form
    106,524/231,840 = 231,840/x
  3. Step 3: Cross multiply
    106,524x = 231,840 × 231,840
  4. Step 4: Simplify right side
    106,524x = 53,749,785,600
  5. Step 5: Solve for x
    x = 53,749,785,600/106,524
  6. Step 6: Final answer
    x = 504,579.11

Related Problems

Find third proportional to 53,262 and 115,920
Half scale
Find third proportional to 213,048 and 463,680
Double scale
Find third proportional to 106,526 and 231,844
Similar ratio
Find third proportional to 159,786 and 347,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.