Home / 533-653

Finding the Third Proportional to 533 and 653

Calculator

Solution

The third proportional to 533 and 653 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 653 = 653 : x
  2. Step 2: Convert to fraction form
    533/653 = 653/x
  3. Step 3: Cross multiply
    533x = 653 × 653
  4. Step 4: Simplify right side
    533x = 426,409
  5. Step 5: Solve for x
    x = 426,409/533
  6. Step 6: Final answer
    x = 800.02

Related Problems

Find third proportional to 266.50 and 326.50
Half scale
Find third proportional to 1,066 and 1,306
Double scale
Find third proportional to 535 and 655
Similar ratio
Find third proportional to 799.50 and 979.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.