Home / 324-465.75

Finding the Third Proportional to 324 and 465.75

Calculator

Solution

The third proportional to 324 and 465.75 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 465.75 = 465.75 : x
  2. Step 2: Convert to fraction form
    324/465.75 = 465.75/x
  3. Step 3: Cross multiply
    324x = 465.75 × 465.75
  4. Step 4: Simplify right side
    324x = 216,923.06
  5. Step 5: Solve for x
    x = 216,923.06/324
  6. Step 6: Final answer
    x = 669.52

Related Problems

Find third proportional to 162 and 232.88
Half scale
Find third proportional to 648 and 931.50
Double scale
Find third proportional to 326 and 469
Similar ratio
Find third proportional to 486 and 698.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.