Home / 670-765

Finding the Third Proportional to 670 and 765

Calculator

Solution

The third proportional to 670 and 765 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 765 = 765 : x
  2. Step 2: Convert to fraction form
    670/765 = 765/x
  3. Step 3: Cross multiply
    670x = 765 × 765
  4. Step 4: Simplify right side
    670x = 585,225
  5. Step 5: Solve for x
    x = 585,225/670
  6. Step 6: Final answer
    x = 873.47

Related Problems

Find third proportional to 335 and 382.50
Half scale
Find third proportional to 1,340 and 1,530
Double scale
Find third proportional to 672 and 767
Similar ratio
Find third proportional to 1,005 and 1,147.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.