Home / 211.50-464.25

Finding the Third Proportional to 211.50 and 464.25

Calculator

Solution

The third proportional to 211.50 and 464.25 is: 1,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 464.25 = 464.25 : x
  2. Step 2: Convert to fraction form
    211.50/464.25 = 464.25/x
  3. Step 3: Cross multiply
    211.50x = 464.25 × 464.25
  4. Step 4: Simplify right side
    211.50x = 215,528.06
  5. Step 5: Solve for x
    x = 215,528.06/211.50
  6. Step 6: Final answer
    x = 1,019.05

Related Problems

Find third proportional to 105.75 and 232.13
Half scale
Find third proportional to 423 and 928.50
Double scale
Find third proportional to 214 and 469
Similar ratio
Find third proportional to 317.25 and 696.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.