Home / 277-664

Finding the Third Proportional to 277 and 664

Calculator

Solution

The third proportional to 277 and 664 is: 1,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 664 = 664 : x
  2. Step 2: Convert to fraction form
    277/664 = 664/x
  3. Step 3: Cross multiply
    277x = 664 × 664
  4. Step 4: Simplify right side
    277x = 440,896
  5. Step 5: Solve for x
    x = 440,896/277
  6. Step 6: Final answer
    x = 1,591.68

Related Problems

Find third proportional to 138.50 and 332
Half scale
Find third proportional to 554 and 1,328
Double scale
Find third proportional to 279 and 669
Similar ratio
Find third proportional to 415.50 and 996
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.