Home / 213,760-338,465

Finding the Third Proportional to 213,760 and 338,465

Calculator

Solution

The third proportional to 213,760 and 338,465 is: 535,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,760 : 338,465 = 338,465 : x
  2. Step 2: Convert to fraction form
    213,760/338,465 = 338,465/x
  3. Step 3: Cross multiply
    213,760x = 338,465 × 338,465
  4. Step 4: Simplify right side
    213,760x = 114,558,556,225
  5. Step 5: Solve for x
    x = 114,558,556,225/213,760
  6. Step 6: Final answer
    x = 535,921.39

Related Problems

Find third proportional to 106,880 and 169,232.50
Half scale
Find third proportional to 427,520 and 676,930
Double scale
Find third proportional to 213,762 and 338,468
Similar ratio
Find third proportional to 320,640 and 507,697.50
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.