Home / 252,285-420,459

Finding the Third Proportional to 252,285 and 420,459

Calculator

Solution

The third proportional to 252,285 and 420,459 is: 700,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,285 : 420,459 = 420,459 : x
  2. Step 2: Convert to fraction form
    252,285/420,459 = 420,459/x
  3. Step 3: Cross multiply
    252,285x = 420,459 × 420,459
  4. Step 4: Simplify right side
    252,285x = 176,785,770,681
  5. Step 5: Solve for x
    x = 176,785,770,681/252,285
  6. Step 6: Final answer
    x = 700,738.33

Related Problems

Find third proportional to 126,142.50 and 210,229.50
Half scale
Find third proportional to 504,570 and 840,918
Double scale
Find third proportional to 252,287 and 420,462
Similar ratio
Find third proportional to 378,427.50 and 630,688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.