Home / 378-458.25

Finding the Third Proportional to 378 and 458.25

Calculator

Solution

The third proportional to 378 and 458.25 is: 555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 458.25 = 458.25 : x
  2. Step 2: Convert to fraction form
    378/458.25 = 458.25/x
  3. Step 3: Cross multiply
    378x = 458.25 × 458.25
  4. Step 4: Simplify right side
    378x = 209,993.06
  5. Step 5: Solve for x
    x = 209,993.06/378
  6. Step 6: Final answer
    x = 555.54

Related Problems

Find third proportional to 189 and 229.13
Half scale
Find third proportional to 756 and 916.50
Double scale
Find third proportional to 380 and 461
Similar ratio
Find third proportional to 567 and 687.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.