Home / 205,775-309,210

Finding the Third Proportional to 205,775 and 309,210

Calculator

Solution

The third proportional to 205,775 and 309,210 is: 464,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,775 : 309,210 = 309,210 : x
  2. Step 2: Convert to fraction form
    205,775/309,210 = 309,210/x
  3. Step 3: Cross multiply
    205,775x = 309,210 × 309,210
  4. Step 4: Simplify right side
    205,775x = 95,610,824,100
  5. Step 5: Solve for x
    x = 95,610,824,100/205,775
  6. Step 6: Final answer
    x = 464,637.71

Related Problems

Find third proportional to 102,887.50 and 154,605
Half scale
Find third proportional to 411,550 and 618,420
Double scale
Find third proportional to 205,777 and 309,213
Similar ratio
Find third proportional to 308,662.50 and 463,815
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.