Home / 106,556-177,569

Finding the Third Proportional to 106,556 and 177,569

Calculator

Solution

The third proportional to 106,556 and 177,569 is: 295,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,556 : 177,569 = 177,569 : x
  2. Step 2: Convert to fraction form
    106,556/177,569 = 177,569/x
  3. Step 3: Cross multiply
    106,556x = 177,569 × 177,569
  4. Step 4: Simplify right side
    106,556x = 31,530,749,761
  5. Step 5: Solve for x
    x = 31,530,749,761/106,556
  6. Step 6: Final answer
    x = 295,907.78

Related Problems

Find third proportional to 53,278 and 88,784.50
Half scale
Find third proportional to 213,112 and 355,138
Double scale
Find third proportional to 106,558 and 177,572
Similar ratio
Find third proportional to 159,834 and 266,353.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.