Home / 783-1,684.97

Finding the Third Proportional to 783 and 1,684.97

Calculator

Solution

The third proportional to 783 and 1,684.97 is: 3,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    783 : 1,684.97 = 1,684.97 : x
  2. Step 2: Convert to fraction form
    783/1,684.97 = 1,684.97/x
  3. Step 3: Cross multiply
    783x = 1,684.97 × 1,684.97
  4. Step 4: Simplify right side
    783x = 2,839,119.69
  5. Step 5: Solve for x
    x = 2,839,119.69/783
  6. Step 6: Final answer
    x = 3,625.95

Related Problems

Find third proportional to 391.50 and 842.48
Half scale
Find third proportional to 1,566 and 3,369.94
Double scale
Find third proportional to 785 and 1,689
Similar ratio
Find third proportional to 1,174.50 and 2,527.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.