Home / 254-415.75

Finding the Third Proportional to 254 and 415.75

Calculator

Solution

The third proportional to 254 and 415.75 is: 680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 415.75 = 415.75 : x
  2. Step 2: Convert to fraction form
    254/415.75 = 415.75/x
  3. Step 3: Cross multiply
    254x = 415.75 × 415.75
  4. Step 4: Simplify right side
    254x = 172,848.06
  5. Step 5: Solve for x
    x = 172,848.06/254
  6. Step 6: Final answer
    x = 680.50

Related Problems

Find third proportional to 127 and 207.88
Half scale
Find third proportional to 508 and 831.50
Double scale
Find third proportional to 256 and 419
Similar ratio
Find third proportional to 381 and 623.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.