Home / 277.50-378

Finding the Third Proportional to 277.50 and 378

Calculator

Solution

The third proportional to 277.50 and 378 is: 514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 378 = 378 : x
  2. Step 2: Convert to fraction form
    277.50/378 = 378/x
  3. Step 3: Cross multiply
    277.50x = 378 × 378
  4. Step 4: Simplify right side
    277.50x = 142,884
  5. Step 5: Solve for x
    x = 142,884/277.50
  6. Step 6: Final answer
    x = 514.90

Related Problems

Find third proportional to 138.75 and 189
Half scale
Find third proportional to 555 and 756
Double scale
Find third proportional to 280 and 381
Similar ratio
Find third proportional to 416.25 and 567
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.