Home / 342,002-511,089

Finding the Third Proportional to 342,002 and 511,089

Calculator

Solution

The third proportional to 342,002 and 511,089 is: 763,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002 : 511,089 = 511,089 : x
  2. Step 2: Convert to fraction form
    342,002/511,089 = 511,089/x
  3. Step 3: Cross multiply
    342,002x = 511,089 × 511,089
  4. Step 4: Simplify right side
    342,002x = 261,211,965,921
  5. Step 5: Solve for x
    x = 261,211,965,921/342,002
  6. Step 6: Final answer
    x = 763,773.21

Related Problems

Find third proportional to 171,001 and 255,544.50
Half scale
Find third proportional to 684,004 and 1,022,178
Double scale
Find third proportional to 342,004 and 511,092
Similar ratio
Find third proportional to 513,003 and 766,633.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.