Home / 205,064-310,329

Finding the Third Proportional to 205,064 and 310,329

Calculator

Solution

The third proportional to 205,064 and 310,329 is: 469,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,064 : 310,329 = 310,329 : x
  2. Step 2: Convert to fraction form
    205,064/310,329 = 310,329/x
  3. Step 3: Cross multiply
    205,064x = 310,329 × 310,329
  4. Step 4: Simplify right side
    205,064x = 96,304,088,241
  5. Step 5: Solve for x
    x = 96,304,088,241/205,064
  6. Step 6: Final answer
    x = 469,629.42

Related Problems

Find third proportional to 102,532 and 155,164.50
Half scale
Find third proportional to 410,128 and 620,658
Double scale
Find third proportional to 205,066 and 310,332
Similar ratio
Find third proportional to 307,596 and 465,493.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.