Home / 540-653

Finding the Third Proportional to 540 and 653

Calculator

Solution

The third proportional to 540 and 653 is: 789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 653 = 653 : x
  2. Step 2: Convert to fraction form
    540/653 = 653/x
  3. Step 3: Cross multiply
    540x = 653 × 653
  4. Step 4: Simplify right side
    540x = 426,409
  5. Step 5: Solve for x
    x = 426,409/540
  6. Step 6: Final answer
    x = 789.65

Related Problems

Find third proportional to 270 and 326.50
Half scale
Find third proportional to 1,080 and 1,306
Double scale
Find third proportional to 542 and 655
Similar ratio
Find third proportional to 810 and 979.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.