Home / 684.75-1,477.31

Finding the Third Proportional to 684.75 and 1,477.31

Calculator

Solution

The third proportional to 684.75 and 1,477.31 is: 3,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 1,477.31 = 1,477.31 : x
  2. Step 2: Convert to fraction form
    684.75/1,477.31 = 1,477.31/x
  3. Step 3: Cross multiply
    684.75x = 1,477.31 × 1,477.31
  4. Step 4: Simplify right side
    684.75x = 2,182,452.22
  5. Step 5: Solve for x
    x = 2,182,452.22/684.75
  6. Step 6: Final answer
    x = 3,187.22

Related Problems

Find third proportional to 342.38 and 738.66
Half scale
Find third proportional to 1,369.50 and 2,954.63
Double scale
Find third proportional to 687 and 1,482
Similar ratio
Find third proportional to 1,027.13 and 2,215.97
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.