Home / 205,777-309,213

Finding the Third Proportional to 205,777 and 309,213

Calculator

Solution

The third proportional to 205,777 and 309,213 is: 464,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,777 : 309,213 = 309,213 : x
  2. Step 2: Convert to fraction form
    205,777/309,213 = 309,213/x
  3. Step 3: Cross multiply
    205,777x = 309,213 × 309,213
  4. Step 4: Simplify right side
    205,777x = 95,612,679,369
  5. Step 5: Solve for x
    x = 95,612,679,369/205,777
  6. Step 6: Final answer
    x = 464,642.21

Related Problems

Find third proportional to 102,888.50 and 154,606.50
Half scale
Find third proportional to 411,554 and 618,426
Double scale
Find third proportional to 205,779 and 309,216
Similar ratio
Find third proportional to 308,665.50 and 463,819.50
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.