Home / 300,358-419,919

Finding the Third Proportional to 300,358 and 419,919

Calculator

Solution

The third proportional to 300,358 and 419,919 is: 587,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,358 : 419,919 = 419,919 : x
  2. Step 2: Convert to fraction form
    300,358/419,919 = 419,919/x
  3. Step 3: Cross multiply
    300,358x = 419,919 × 419,919
  4. Step 4: Simplify right side
    300,358x = 176,331,966,561
  5. Step 5: Solve for x
    x = 176,331,966,561/300,358
  6. Step 6: Final answer
    x = 587,072.65

Related Problems

Find third proportional to 150,179 and 209,959.50
Half scale
Find third proportional to 600,716 and 839,838
Double scale
Find third proportional to 300,360 and 419,922
Similar ratio
Find third proportional to 450,537 and 629,878.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.