Home / 785-1,020

Finding the Third Proportional to 785 and 1,020

Calculator

Solution

The third proportional to 785 and 1,020 is: 1,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    785 : 1,020 = 1,020 : x
  2. Step 2: Convert to fraction form
    785/1,020 = 1,020/x
  3. Step 3: Cross multiply
    785x = 1,020 × 1,020
  4. Step 4: Simplify right side
    785x = 1,040,400
  5. Step 5: Solve for x
    x = 1,040,400/785
  6. Step 6: Final answer
    x = 1,325.35

Related Problems

Find third proportional to 392.50 and 510
Half scale
Find third proportional to 1,570 and 2,040
Double scale
Find third proportional to 787 and 1,023
Similar ratio
Find third proportional to 1,177.50 and 1,530
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.