Home / 205,604-322,605

Finding the Third Proportional to 205,604 and 322,605

Calculator

Solution

The third proportional to 205,604 and 322,605 is: 506,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604 : 322,605 = 322,605 : x
  2. Step 2: Convert to fraction form
    205,604/322,605 = 322,605/x
  3. Step 3: Cross multiply
    205,604x = 322,605 × 322,605
  4. Step 4: Simplify right side
    205,604x = 104,073,986,025
  5. Step 5: Solve for x
    x = 104,073,986,025/205,604
  6. Step 6: Final answer
    x = 506,186.58

Related Problems

Find third proportional to 102,802 and 161,302.50
Half scale
Find third proportional to 411,208 and 645,210
Double scale
Find third proportional to 205,606 and 322,608
Similar ratio
Find third proportional to 308,406 and 483,907.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.