Home / 254.88-678.50

Finding the Third Proportional to 254.88 and 678.50

Calculator

Solution

The third proportional to 254.88 and 678.50 is: 1,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 678.50 = 678.50 : x
  2. Step 2: Convert to fraction form
    254.88/678.50 = 678.50/x
  3. Step 3: Cross multiply
    254.88x = 678.50 × 678.50
  4. Step 4: Simplify right side
    254.88x = 460,362.25
  5. Step 5: Solve for x
    x = 460,362.25/254.88
  6. Step 6: Final answer
    x = 1,806.23

Related Problems

Find third proportional to 127.44 and 339.25
Half scale
Find third proportional to 509.75 and 1,357
Double scale
Find third proportional to 257 and 684
Similar ratio
Find third proportional to 382.31 and 1,017.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.