Home / 780-1,652

Finding the Third Proportional to 780 and 1,652

Calculator

Solution

The third proportional to 780 and 1,652 is: 3,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780 : 1,652 = 1,652 : x
  2. Step 2: Convert to fraction form
    780/1,652 = 1,652/x
  3. Step 3: Cross multiply
    780x = 1,652 × 1,652
  4. Step 4: Simplify right side
    780x = 2,729,104
  5. Step 5: Solve for x
    x = 2,729,104/780
  6. Step 6: Final answer
    x = 3,498.85

Related Problems

Find third proportional to 390 and 826
Half scale
Find third proportional to 1,560 and 3,304
Double scale
Find third proportional to 782 and 1,656
Similar ratio
Find third proportional to 1,170 and 2,478
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.