Home / 201,930-311,316

Finding the Third Proportional to 201,930 and 311,316

Calculator

Solution

The third proportional to 201,930 and 311,316 is: 479,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930 : 311,316 = 311,316 : x
  2. Step 2: Convert to fraction form
    201,930/311,316 = 311,316/x
  3. Step 3: Cross multiply
    201,930x = 311,316 × 311,316
  4. Step 4: Simplify right side
    201,930x = 96,917,651,856
  5. Step 5: Solve for x
    x = 96,917,651,856/201,930
  6. Step 6: Final answer
    x = 479,956.68

Related Problems

Find third proportional to 100,965 and 155,658
Half scale
Find third proportional to 403,860 and 622,632
Double scale
Find third proportional to 201,932 and 311,319
Similar ratio
Find third proportional to 302,895 and 466,974
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.