Home / 213,129-318,231

Finding the Third Proportional to 213,129 and 318,231

Calculator

Solution

The third proportional to 213,129 and 318,231 is: 475,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,129 : 318,231 = 318,231 : x
  2. Step 2: Convert to fraction form
    213,129/318,231 = 318,231/x
  3. Step 3: Cross multiply
    213,129x = 318,231 × 318,231
  4. Step 4: Simplify right side
    213,129x = 101,270,969,361
  5. Step 5: Solve for x
    x = 101,270,969,361/213,129
  6. Step 6: Final answer
    x = 475,162.79

Related Problems

Find third proportional to 106,564.50 and 159,115.50
Half scale
Find third proportional to 426,258 and 636,462
Double scale
Find third proportional to 213,131 and 318,234
Similar ratio
Find third proportional to 319,693.50 and 477,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.