Home / 301,419-409,365

Finding the Third Proportional to 301,419 and 409,365

Calculator

Solution

The third proportional to 301,419 and 409,365 is: 555,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,419 : 409,365 = 409,365 : x
  2. Step 2: Convert to fraction form
    301,419/409,365 = 409,365/x
  3. Step 3: Cross multiply
    301,419x = 409,365 × 409,365
  4. Step 4: Simplify right side
    301,419x = 167,579,703,225
  5. Step 5: Solve for x
    x = 167,579,703,225/301,419
  6. Step 6: Final answer
    x = 555,969.28

Related Problems

Find third proportional to 150,709.50 and 204,682.50
Half scale
Find third proportional to 602,838 and 818,730
Double scale
Find third proportional to 301,421 and 409,368
Similar ratio
Find third proportional to 452,128.50 and 614,047.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.