Home / 396,943-519,142

Finding the Third Proportional to 396,943 and 519,142

Calculator

Solution

The third proportional to 396,943 and 519,142 is: 678,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,943 : 519,142 = 519,142 : x
  2. Step 2: Convert to fraction form
    396,943/519,142 = 519,142/x
  3. Step 3: Cross multiply
    396,943x = 519,142 × 519,142
  4. Step 4: Simplify right side
    396,943x = 269,508,416,164
  5. Step 5: Solve for x
    x = 269,508,416,164/396,943
  6. Step 6: Final answer
    x = 678,959.99

Related Problems

Find third proportional to 198,471.50 and 259,571
Half scale
Find third proportional to 793,886 and 1,038,284
Double scale
Find third proportional to 396,945 and 519,145
Similar ratio
Find third proportional to 595,414.50 and 778,713
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.