Home / 213,950-331,293

Finding the Third Proportional to 213,950 and 331,293

Calculator

Solution

The third proportional to 213,950 and 331,293 is: 512,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,950 : 331,293 = 331,293 : x
  2. Step 2: Convert to fraction form
    213,950/331,293 = 331,293/x
  3. Step 3: Cross multiply
    213,950x = 331,293 × 331,293
  4. Step 4: Simplify right side
    213,950x = 109,755,051,849
  5. Step 5: Solve for x
    x = 109,755,051,849/213,950
  6. Step 6: Final answer
    x = 512,993.93

Related Problems

Find third proportional to 106,975 and 165,646.50
Half scale
Find third proportional to 427,900 and 662,586
Double scale
Find third proportional to 213,952 and 331,296
Similar ratio
Find third proportional to 320,925 and 496,939.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.