Home / 450-972

Finding the Third Proportional to 450 and 972

Calculator

Solution

The third proportional to 450 and 972 is: 2,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 972 = 972 : x
  2. Step 2: Convert to fraction form
    450/972 = 972/x
  3. Step 3: Cross multiply
    450x = 972 × 972
  4. Step 4: Simplify right side
    450x = 944,784
  5. Step 5: Solve for x
    x = 944,784/450
  6. Step 6: Final answer
    x = 2,099.52

Related Problems

Find third proportional to 225 and 486
Half scale
Find third proportional to 900 and 1,944
Double scale
Find third proportional to 452 and 976
Similar ratio
Find third proportional to 675 and 1,458
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.