Home / 278-460.50

Finding the Third Proportional to 278 and 460.50

Calculator

Solution

The third proportional to 278 and 460.50 is: 762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 460.50 = 460.50 : x
  2. Step 2: Convert to fraction form
    278/460.50 = 460.50/x
  3. Step 3: Cross multiply
    278x = 460.50 × 460.50
  4. Step 4: Simplify right side
    278x = 212,060.25
  5. Step 5: Solve for x
    x = 212,060.25/278
  6. Step 6: Final answer
    x = 762.81

Related Problems

Find third proportional to 139 and 230.25
Half scale
Find third proportional to 556 and 921
Double scale
Find third proportional to 280 and 464
Similar ratio
Find third proportional to 417 and 690.75
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.