Home / 270,914-419,251

Finding the Third Proportional to 270,914 and 419,251

Calculator

Solution

The third proportional to 270,914 and 419,251 is: 648,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,914 : 419,251 = 419,251 : x
  2. Step 2: Convert to fraction form
    270,914/419,251 = 419,251/x
  3. Step 3: Cross multiply
    270,914x = 419,251 × 419,251
  4. Step 4: Simplify right side
    270,914x = 175,771,401,001
  5. Step 5: Solve for x
    x = 175,771,401,001/270,914
  6. Step 6: Final answer
    x = 648,808.85

Related Problems

Find third proportional to 135,457 and 209,625.50
Half scale
Find third proportional to 541,828 and 838,502
Double scale
Find third proportional to 270,916 and 419,254
Similar ratio
Find third proportional to 406,371 and 628,876.50
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.