Home / 205,175-306,942

Finding the Third Proportional to 205,175 and 306,942

Calculator

Solution

The third proportional to 205,175 and 306,942 is: 459,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,175 : 306,942 = 306,942 : x
  2. Step 2: Convert to fraction form
    205,175/306,942 = 306,942/x
  3. Step 3: Cross multiply
    205,175x = 306,942 × 306,942
  4. Step 4: Simplify right side
    205,175x = 94,213,391,364
  5. Step 5: Solve for x
    x = 94,213,391,364/205,175
  6. Step 6: Final answer
    x = 459,185.53

Related Problems

Find third proportional to 102,587.50 and 153,471
Half scale
Find third proportional to 410,350 and 613,884
Double scale
Find third proportional to 205,177 and 306,945
Similar ratio
Find third proportional to 307,762.50 and 460,413
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.