Home / 385,268-511,207

Finding the Third Proportional to 385,268 and 511,207

Calculator

Solution

The third proportional to 385,268 and 511,207 is: 678,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,268 : 511,207 = 511,207 : x
  2. Step 2: Convert to fraction form
    385,268/511,207 = 511,207/x
  3. Step 3: Cross multiply
    385,268x = 511,207 × 511,207
  4. Step 4: Simplify right side
    385,268x = 261,332,596,849
  5. Step 5: Solve for x
    x = 261,332,596,849/385,268
  6. Step 6: Final answer
    x = 678,313.79

Related Problems

Find third proportional to 192,634 and 255,603.50
Half scale
Find third proportional to 770,536 and 1,022,414
Double scale
Find third proportional to 385,270 and 511,210
Similar ratio
Find third proportional to 577,902 and 766,810.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.