Home / 324.50-678.50

Finding the Third Proportional to 324.50 and 678.50

Calculator

Solution

The third proportional to 324.50 and 678.50 is: 1,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 678.50 = 678.50 : x
  2. Step 2: Convert to fraction form
    324.50/678.50 = 678.50/x
  3. Step 3: Cross multiply
    324.50x = 678.50 × 678.50
  4. Step 4: Simplify right side
    324.50x = 460,362.25
  5. Step 5: Solve for x
    x = 460,362.25/324.50
  6. Step 6: Final answer
    x = 1,418.68

Related Problems

Find third proportional to 162.25 and 339.25
Half scale
Find third proportional to 649 and 1,357
Double scale
Find third proportional to 327 and 683
Similar ratio
Find third proportional to 486.75 and 1,017.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.