Home / 106,065-228,727

Finding the Third Proportional to 106,065 and 228,727

Calculator

Solution

The third proportional to 106,065 and 228,727 is: 493,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,065 : 228,727 = 228,727 : x
  2. Step 2: Convert to fraction form
    106,065/228,727 = 228,727/x
  3. Step 3: Cross multiply
    106,065x = 228,727 × 228,727
  4. Step 4: Simplify right side
    106,065x = 52,316,040,529
  5. Step 5: Solve for x
    x = 52,316,040,529/106,065
  6. Step 6: Final answer
    x = 493,245.09

Related Problems

Find third proportional to 53,032.50 and 114,363.50
Half scale
Find third proportional to 212,130 and 457,454
Double scale
Find third proportional to 106,067 and 228,731
Similar ratio
Find third proportional to 159,097.50 and 343,090.50
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.