Home / 103,424-223,465

Finding the Third Proportional to 103,424 and 223,465

Calculator

Solution

The third proportional to 103,424 and 223,465 is: 482,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,424 : 223,465 = 223,465 : x
  2. Step 2: Convert to fraction form
    103,424/223,465 = 223,465/x
  3. Step 3: Cross multiply
    103,424x = 223,465 × 223,465
  4. Step 4: Simplify right side
    103,424x = 49,936,606,225
  5. Step 5: Solve for x
    x = 49,936,606,225/103,424
  6. Step 6: Final answer
    x = 482,833.83

Related Problems

Find third proportional to 51,712 and 111,732.50
Half scale
Find third proportional to 206,848 and 446,930
Double scale
Find third proportional to 103,426 and 223,469
Similar ratio
Find third proportional to 155,136 and 335,197.50
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.