Home / 291,330-419,769

Finding the Third Proportional to 291,330 and 419,769

Calculator

Solution

The third proportional to 291,330 and 419,769 is: 604,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,330 : 419,769 = 419,769 : x
  2. Step 2: Convert to fraction form
    291,330/419,769 = 419,769/x
  3. Step 3: Cross multiply
    291,330x = 419,769 × 419,769
  4. Step 4: Simplify right side
    291,330x = 176,206,013,361
  5. Step 5: Solve for x
    x = 176,206,013,361/291,330
  6. Step 6: Final answer
    x = 604,833.05

Related Problems

Find third proportional to 145,665 and 209,884.50
Half scale
Find third proportional to 582,660 and 839,538
Double scale
Find third proportional to 291,332 and 419,772
Similar ratio
Find third proportional to 436,995 and 629,653.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.