Home / 800-1,164

Finding the Third Proportional to 800 and 1,164

Calculator

Solution

The third proportional to 800 and 1,164 is: 1,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    800 : 1,164 = 1,164 : x
  2. Step 2: Convert to fraction form
    800/1,164 = 1,164/x
  3. Step 3: Cross multiply
    800x = 1,164 × 1,164
  4. Step 4: Simplify right side
    800x = 1,354,896
  5. Step 5: Solve for x
    x = 1,354,896/800
  6. Step 6: Final answer
    x = 1,693.62

Related Problems

Find third proportional to 400 and 582
Half scale
Find third proportional to 1,600 and 2,328
Double scale
Find third proportional to 802 and 1,167
Similar ratio
Find third proportional to 1,200 and 1,746
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.