Home / 205,824-307,872

Finding the Third Proportional to 205,824 and 307,872

Calculator

Solution

The third proportional to 205,824 and 307,872 is: 460,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,824 : 307,872 = 307,872 : x
  2. Step 2: Convert to fraction form
    205,824/307,872 = 307,872/x
  3. Step 3: Cross multiply
    205,824x = 307,872 × 307,872
  4. Step 4: Simplify right side
    205,824x = 94,785,168,384
  5. Step 5: Solve for x
    x = 94,785,168,384/205,824
  6. Step 6: Final answer
    x = 460,515.63

Related Problems

Find third proportional to 102,912 and 153,936
Half scale
Find third proportional to 411,648 and 615,744
Double scale
Find third proportional to 205,826 and 307,875
Similar ratio
Find third proportional to 308,736 and 461,808
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.