Home / 378,488-827,824

Finding the Third Proportional to 378,488 and 827,824

Calculator

Solution

The third proportional to 378,488 and 827,824 is: 1,810,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,488 : 827,824 = 827,824 : x
  2. Step 2: Convert to fraction form
    378,488/827,824 = 827,824/x
  3. Step 3: Cross multiply
    378,488x = 827,824 × 827,824
  4. Step 4: Simplify right side
    378,488x = 685,292,574,976
  5. Step 5: Solve for x
    x = 685,292,574,976/378,488
  6. Step 6: Final answer
    x = 1,810,605.82

Related Problems

Find third proportional to 189,244 and 413,912
Half scale
Find third proportional to 756,976 and 1,655,648
Double scale
Find third proportional to 378,490 and 827,828
Similar ratio
Find third proportional to 567,732 and 1,241,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.