Home / 153-378

Finding the Third Proportional to 153 and 378

Calculator

Solution

The third proportional to 153 and 378 is: 933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153 : 378 = 378 : x
  2. Step 2: Convert to fraction form
    153/378 = 378/x
  3. Step 3: Cross multiply
    153x = 378 × 378
  4. Step 4: Simplify right side
    153x = 142,884
  5. Step 5: Solve for x
    x = 142,884/153
  6. Step 6: Final answer
    x = 933.88

Related Problems

Find third proportional to 76.50 and 189
Half scale
Find third proportional to 306 and 756
Double scale
Find third proportional to 155 and 383
Similar ratio
Find third proportional to 229.50 and 567
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.