Home / 288-460.50

Finding the Third Proportional to 288 and 460.50

Calculator

Solution

The third proportional to 288 and 460.50 is: 736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 460.50 = 460.50 : x
  2. Step 2: Convert to fraction form
    288/460.50 = 460.50/x
  3. Step 3: Cross multiply
    288x = 460.50 × 460.50
  4. Step 4: Simplify right side
    288x = 212,060.25
  5. Step 5: Solve for x
    x = 212,060.25/288
  6. Step 6: Final answer
    x = 736.32

Related Problems

Find third proportional to 144 and 230.25
Half scale
Find third proportional to 576 and 921
Double scale
Find third proportional to 290 and 464
Similar ratio
Find third proportional to 432 and 690.75
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.