Home / 800-1,586

Finding the Third Proportional to 800 and 1,586

Calculator

Solution

The third proportional to 800 and 1,586 is: 3,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800 : 1,586 = 1,586 : x
  2. Step 2: Convert to fraction form
    800/1,586 = 1,586/x
  3. Step 3: Cross multiply
    800x = 1,586 × 1,586
  4. Step 4: Simplify right side
    800x = 2,515,396
  5. Step 5: Solve for x
    x = 2,515,396/800
  6. Step 6: Final answer
    x = 3,144.25

Related Problems

Find third proportional to 400 and 793
Half scale
Find third proportional to 1,600 and 3,172
Double scale
Find third proportional to 802 and 1,590
Similar ratio
Find third proportional to 1,200 and 2,379
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.