Home / 201,804-428,207

Finding the Third Proportional to 201,804 and 428,207

Calculator

Solution

The third proportional to 201,804 and 428,207 is: 908,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,804 : 428,207 = 428,207 : x
  2. Step 2: Convert to fraction form
    201,804/428,207 = 428,207/x
  3. Step 3: Cross multiply
    201,804x = 428,207 × 428,207
  4. Step 4: Simplify right side
    201,804x = 183,361,234,849
  5. Step 5: Solve for x
    x = 183,361,234,849/201,804
  6. Step 6: Final answer
    x = 908,610.51

Related Problems

Find third proportional to 100,902 and 214,103.50
Half scale
Find third proportional to 403,608 and 856,414
Double scale
Find third proportional to 201,806 and 428,211
Similar ratio
Find third proportional to 302,706 and 642,310.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.