Home / 675-810

Finding the Third Proportional to 675 and 810

Calculator

Solution

The third proportional to 675 and 810 is: 972

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 810 = 810 : x
  2. Step 2: Convert to fraction form
    675/810 = 810/x
  3. Step 3: Cross multiply
    675x = 810 × 810
  4. Step 4: Simplify right side
    675x = 656,100
  5. Step 5: Solve for x
    x = 656,100/675
  6. Step 6: Final answer
    x = 972

Related Problems

Find third proportional to 337.50 and 405
Half scale
Find third proportional to 1,350 and 1,620
Double scale
Find third proportional to 677 and 812
Similar ratio
Find third proportional to 1,012.50 and 1,215
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.