Home / 278-462.75

Finding the Third Proportional to 278 and 462.75

Calculator

Solution

The third proportional to 278 and 462.75 is: 770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 462.75 = 462.75 : x
  2. Step 2: Convert to fraction form
    278/462.75 = 462.75/x
  3. Step 3: Cross multiply
    278x = 462.75 × 462.75
  4. Step 4: Simplify right side
    278x = 214,137.56
  5. Step 5: Solve for x
    x = 214,137.56/278
  6. Step 6: Final answer
    x = 770.28

Related Problems

Find third proportional to 139 and 231.38
Half scale
Find third proportional to 556 and 925.50
Double scale
Find third proportional to 280 and 466
Similar ratio
Find third proportional to 417 and 694.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.