Home / 677.74-1,594.69

Finding the Third Proportional to 677.74 and 1,594.69

Calculator

Solution

The third proportional to 677.74 and 1,594.69 is: 3,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 1,594.69 = 1,594.69 : x
  2. Step 2: Convert to fraction form
    677.74/1,594.69 = 1,594.69/x
  3. Step 3: Cross multiply
    677.74x = 1,594.69 × 1,594.69
  4. Step 4: Simplify right side
    677.74x = 2,543,028.22
  5. Step 5: Solve for x
    x = 2,543,028.22/677.74
  6. Step 6: Final answer
    x = 3,752.21

Related Problems

Find third proportional to 338.87 and 797.34
Half scale
Find third proportional to 1,355.48 and 3,189.38
Double scale
Find third proportional to 680 and 1,599
Similar ratio
Find third proportional to 1,016.61 and 2,392.03
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.