Home / 575-649

Finding the Third Proportional to 575 and 649

Calculator

Solution

The third proportional to 575 and 649 is: 732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 649 = 649 : x
  2. Step 2: Convert to fraction form
    575/649 = 649/x
  3. Step 3: Cross multiply
    575x = 649 × 649
  4. Step 4: Simplify right side
    575x = 421,201
  5. Step 5: Solve for x
    x = 421,201/575
  6. Step 6: Final answer
    x = 732.52

Related Problems

Find third proportional to 287.50 and 324.50
Half scale
Find third proportional to 1,150 and 1,298
Double scale
Find third proportional to 577 and 651
Similar ratio
Find third proportional to 862.50 and 973.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.