Home / 213,963-331,130

Finding the Third Proportional to 213,963 and 331,130

Calculator

Solution

The third proportional to 213,963 and 331,130 is: 512,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963 : 331,130 = 331,130 : x
  2. Step 2: Convert to fraction form
    213,963/331,130 = 331,130/x
  3. Step 3: Cross multiply
    213,963x = 331,130 × 331,130
  4. Step 4: Simplify right side
    213,963x = 109,647,076,900
  5. Step 5: Solve for x
    x = 109,647,076,900/213,963
  6. Step 6: Final answer
    x = 512,458.12

Related Problems

Find third proportional to 106,981.50 and 165,565
Half scale
Find third proportional to 427,926 and 662,260
Double scale
Find third proportional to 213,965 and 331,133
Similar ratio
Find third proportional to 320,944.50 and 496,695
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.