Home / 301,349-413,211

Finding the Third Proportional to 301,349 and 413,211

Calculator

Solution

The third proportional to 301,349 and 413,211 is: 566,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,349 : 413,211 = 413,211 : x
  2. Step 2: Convert to fraction form
    301,349/413,211 = 413,211/x
  3. Step 3: Cross multiply
    301,349x = 413,211 × 413,211
  4. Step 4: Simplify right side
    301,349x = 170,743,330,521
  5. Step 5: Solve for x
    x = 170,743,330,521/301,349
  6. Step 6: Final answer
    x = 566,596.64

Related Problems

Find third proportional to 150,674.50 and 206,605.50
Half scale
Find third proportional to 602,698 and 826,422
Double scale
Find third proportional to 301,351 and 413,214
Similar ratio
Find third proportional to 452,023.50 and 619,816.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.