Home / 541-649

Finding the Third Proportional to 541 and 649

Calculator

Solution

The third proportional to 541 and 649 is: 778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 649 = 649 : x
  2. Step 2: Convert to fraction form
    541/649 = 649/x
  3. Step 3: Cross multiply
    541x = 649 × 649
  4. Step 4: Simplify right side
    541x = 421,201
  5. Step 5: Solve for x
    x = 421,201/541
  6. Step 6: Final answer
    x = 778.56

Related Problems

Find third proportional to 270.50 and 324.50
Half scale
Find third proportional to 1,082 and 1,298
Double scale
Find third proportional to 543 and 651
Similar ratio
Find third proportional to 811.50 and 973.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.