Home / 213,876-313,038

Finding the Third Proportional to 213,876 and 313,038

Calculator

Solution

The third proportional to 213,876 and 313,038 is: 458,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,876 : 313,038 = 313,038 : x
  2. Step 2: Convert to fraction form
    213,876/313,038 = 313,038/x
  3. Step 3: Cross multiply
    213,876x = 313,038 × 313,038
  4. Step 4: Simplify right side
    213,876x = 97,992,789,444
  5. Step 5: Solve for x
    x = 97,992,789,444/213,876
  6. Step 6: Final answer
    x = 458,175.72

Related Problems

Find third proportional to 106,938 and 156,519
Half scale
Find third proportional to 427,752 and 626,076
Double scale
Find third proportional to 213,878 and 313,041
Similar ratio
Find third proportional to 320,814 and 469,557
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.