Home / 812.50-1,664

Finding the Third Proportional to 812.50 and 1,664

Calculator

Solution

The third proportional to 812.50 and 1,664 is: 3,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.50 : 1,664 = 1,664 : x
  2. Step 2: Convert to fraction form
    812.50/1,664 = 1,664/x
  3. Step 3: Cross multiply
    812.50x = 1,664 × 1,664
  4. Step 4: Simplify right side
    812.50x = 2,768,896
  5. Step 5: Solve for x
    x = 2,768,896/812.50
  6. Step 6: Final answer
    x = 3,407.87

Related Problems

Find third proportional to 406.25 and 832
Half scale
Find third proportional to 1,625 and 3,328
Double scale
Find third proportional to 815 and 1,668
Similar ratio
Find third proportional to 1,218.75 and 2,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.