Home / 205,920-312,876

Finding the Third Proportional to 205,920 and 312,876

Calculator

Solution

The third proportional to 205,920 and 312,876 is: 475,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920 : 312,876 = 312,876 : x
  2. Step 2: Convert to fraction form
    205,920/312,876 = 312,876/x
  3. Step 3: Cross multiply
    205,920x = 312,876 × 312,876
  4. Step 4: Simplify right side
    205,920x = 97,891,391,376
  5. Step 5: Solve for x
    x = 97,891,391,376/205,920
  6. Step 6: Final answer
    x = 475,385.54

Related Problems

Find third proportional to 102,960 and 156,438
Half scale
Find third proportional to 411,840 and 625,752
Double scale
Find third proportional to 205,922 and 312,879
Similar ratio
Find third proportional to 308,880 and 469,314
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.