Home / 363.09-783.19

Finding the Third Proportional to 363.09 and 783.19

Calculator

Solution

The third proportional to 363.09 and 783.19 is: 1,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 783.19 = 783.19 : x
  2. Step 2: Convert to fraction form
    363.09/783.19 = 783.19/x
  3. Step 3: Cross multiply
    363.09x = 783.19 × 783.19
  4. Step 4: Simplify right side
    363.09x = 613,382.66
  5. Step 5: Solve for x
    x = 613,382.66/363.09
  6. Step 6: Final answer
    x = 1,689.32

Related Problems

Find third proportional to 181.55 and 391.59
Half scale
Find third proportional to 726.19 and 1,566.38
Double scale
Find third proportional to 365 and 788
Similar ratio
Find third proportional to 544.64 and 1,174.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.