Home / 303-664

Finding the Third Proportional to 303 and 664

Calculator

Solution

The third proportional to 303 and 664 is: 1,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303 : 664 = 664 : x
  2. Step 2: Convert to fraction form
    303/664 = 664/x
  3. Step 3: Cross multiply
    303x = 664 × 664
  4. Step 4: Simplify right side
    303x = 440,896
  5. Step 5: Solve for x
    x = 440,896/303
  6. Step 6: Final answer
    x = 1,455.10

Related Problems

Find third proportional to 151.50 and 332
Half scale
Find third proportional to 606 and 1,328
Double scale
Find third proportional to 305 and 668
Similar ratio
Find third proportional to 454.50 and 996
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.