Home / 206,763-422,286

Finding the Third Proportional to 206,763 and 422,286

Calculator

Solution

The third proportional to 206,763 and 422,286 is: 862,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763 : 422,286 = 422,286 : x
  2. Step 2: Convert to fraction form
    206,763/422,286 = 422,286/x
  3. Step 3: Cross multiply
    206,763x = 422,286 × 422,286
  4. Step 4: Simplify right side
    206,763x = 178,325,465,796
  5. Step 5: Solve for x
    x = 178,325,465,796/206,763
  6. Step 6: Final answer
    x = 862,463.14

Related Problems

Find third proportional to 103,381.50 and 211,143
Half scale
Find third proportional to 413,526 and 844,572
Double scale
Find third proportional to 206,765 and 422,290
Similar ratio
Find third proportional to 310,144.50 and 633,429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.