Home / 106,306-223,628

Finding the Third Proportional to 106,306 and 223,628

Calculator

Solution

The third proportional to 106,306 and 223,628 is: 470,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,306 : 223,628 = 223,628 : x
  2. Step 2: Convert to fraction form
    106,306/223,628 = 223,628/x
  3. Step 3: Cross multiply
    106,306x = 223,628 × 223,628
  4. Step 4: Simplify right side
    106,306x = 50,009,482,384
  5. Step 5: Solve for x
    x = 50,009,482,384/106,306
  6. Step 6: Final answer
    x = 470,429.54

Related Problems

Find third proportional to 53,153 and 111,814
Half scale
Find third proportional to 212,612 and 447,256
Double scale
Find third proportional to 106,308 and 223,632
Similar ratio
Find third proportional to 159,459 and 335,442
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.