Home / 270,417-420,375

Finding the Third Proportional to 270,417 and 420,375

Calculator

Solution

The third proportional to 270,417 and 420,375 is: 653,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,417 : 420,375 = 420,375 : x
  2. Step 2: Convert to fraction form
    270,417/420,375 = 420,375/x
  3. Step 3: Cross multiply
    270,417x = 420,375 × 420,375
  4. Step 4: Simplify right side
    270,417x = 176,715,140,625
  5. Step 5: Solve for x
    x = 176,715,140,625/270,417
  6. Step 6: Final answer
    x = 653,491.24

Related Problems

Find third proportional to 135,208.50 and 210,187.50
Half scale
Find third proportional to 540,834 and 840,750
Double scale
Find third proportional to 270,419 and 420,378
Similar ratio
Find third proportional to 405,625.50 and 630,562.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.