Home / 312,165-663,210

Finding the Third Proportional to 312,165 and 663,210

Calculator

Solution

The third proportional to 312,165 and 663,210 is: 1,409,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,165 : 663,210 = 663,210 : x
  2. Step 2: Convert to fraction form
    312,165/663,210 = 663,210/x
  3. Step 3: Cross multiply
    312,165x = 663,210 × 663,210
  4. Step 4: Simplify right side
    312,165x = 439,847,504,100
  5. Step 5: Solve for x
    x = 439,847,504,100/312,165
  6. Step 6: Final answer
    x = 1,409,022.49

Related Problems

Find third proportional to 156,082.50 and 331,605
Half scale
Find third proportional to 624,330 and 1,326,420
Double scale
Find third proportional to 312,167 and 663,214
Similar ratio
Find third proportional to 468,247.50 and 994,815
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.