Home / 772-1,664

Finding the Third Proportional to 772 and 1,664

Calculator

Solution

The third proportional to 772 and 1,664 is: 3,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,664 = 1,664 : x
  2. Step 2: Convert to fraction form
    772/1,664 = 1,664/x
  3. Step 3: Cross multiply
    772x = 1,664 × 1,664
  4. Step 4: Simplify right side
    772x = 2,768,896
  5. Step 5: Solve for x
    x = 2,768,896/772
  6. Step 6: Final answer
    x = 3,586.65

Related Problems

Find third proportional to 386 and 832
Half scale
Find third proportional to 1,544 and 3,328
Double scale
Find third proportional to 774 and 1,668
Similar ratio
Find third proportional to 1,158 and 2,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.