Home / 284,400-428,400

Finding the Third Proportional to 284,400 and 428,400

Calculator

Solution

The third proportional to 284,400 and 428,400 is: 645,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,400 : 428,400 = 428,400 : x
  2. Step 2: Convert to fraction form
    284,400/428,400 = 428,400/x
  3. Step 3: Cross multiply
    284,400x = 428,400 × 428,400
  4. Step 4: Simplify right side
    284,400x = 183,526,560,000
  5. Step 5: Solve for x
    x = 183,526,560,000/284,400
  6. Step 6: Final answer
    x = 645,311.39

Related Problems

Find third proportional to 142,200 and 214,200
Half scale
Find third proportional to 568,800 and 856,800
Double scale
Find third proportional to 284,402 and 428,403
Similar ratio
Find third proportional to 426,600 and 642,600
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.