Home / 106,259-231,835

Finding the Third Proportional to 106,259 and 231,835

Calculator

Solution

The third proportional to 106,259 and 231,835 is: 505,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,259 : 231,835 = 231,835 : x
  2. Step 2: Convert to fraction form
    106,259/231,835 = 231,835/x
  3. Step 3: Cross multiply
    106,259x = 231,835 × 231,835
  4. Step 4: Simplify right side
    106,259x = 53,747,467,225
  5. Step 5: Solve for x
    x = 53,747,467,225/106,259
  6. Step 6: Final answer
    x = 505,815.67

Related Problems

Find third proportional to 53,129.50 and 115,917.50
Half scale
Find third proportional to 212,518 and 463,670
Double scale
Find third proportional to 106,261 and 231,839
Similar ratio
Find third proportional to 159,388.50 and 347,752.50
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.