Home / 300,902-409,826

Finding the Third Proportional to 300,902 and 409,826

Calculator

Solution

The third proportional to 300,902 and 409,826 is: 558,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,902 : 409,826 = 409,826 : x
  2. Step 2: Convert to fraction form
    300,902/409,826 = 409,826/x
  3. Step 3: Cross multiply
    300,902x = 409,826 × 409,826
  4. Step 4: Simplify right side
    300,902x = 167,957,350,276
  5. Step 5: Solve for x
    x = 167,957,350,276/300,902
  6. Step 6: Final answer
    x = 558,179.57

Related Problems

Find third proportional to 150,451 and 204,913
Half scale
Find third proportional to 601,804 and 819,652
Double scale
Find third proportional to 300,904 and 409,829
Similar ratio
Find third proportional to 451,353 and 614,739
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.