Home / 213,707-338,396

Finding the Third Proportional to 213,707 and 338,396

Calculator

Solution

The third proportional to 213,707 and 338,396 is: 535,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,707 : 338,396 = 338,396 : x
  2. Step 2: Convert to fraction form
    213,707/338,396 = 338,396/x
  3. Step 3: Cross multiply
    213,707x = 338,396 × 338,396
  4. Step 4: Simplify right side
    213,707x = 114,511,852,816
  5. Step 5: Solve for x
    x = 114,511,852,816/213,707
  6. Step 6: Final answer
    x = 535,835.76

Related Problems

Find third proportional to 106,853.50 and 169,198
Half scale
Find third proportional to 427,414 and 676,792
Double scale
Find third proportional to 213,709 and 338,399
Similar ratio
Find third proportional to 320,560.50 and 507,594
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.