Home / 320.25-511.50

Finding the Third Proportional to 320.25 and 511.50

Calculator

Solution

The third proportional to 320.25 and 511.50 is: 816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 511.50 = 511.50 : x
  2. Step 2: Convert to fraction form
    320.25/511.50 = 511.50/x
  3. Step 3: Cross multiply
    320.25x = 511.50 × 511.50
  4. Step 4: Simplify right side
    320.25x = 261,632.25
  5. Step 5: Solve for x
    x = 261,632.25/320.25
  6. Step 6: Final answer
    x = 816.96

Related Problems

Find third proportional to 160.13 and 255.75
Half scale
Find third proportional to 640.50 and 1,023
Double scale
Find third proportional to 322 and 515
Similar ratio
Find third proportional to 480.38 and 767.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.