Home / 105,734-227,971

Finding the Third Proportional to 105,734 and 227,971

Calculator

Solution

The third proportional to 105,734 and 227,971 is: 491,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,734 : 227,971 = 227,971 : x
  2. Step 2: Convert to fraction form
    105,734/227,971 = 227,971/x
  3. Step 3: Cross multiply
    105,734x = 227,971 × 227,971
  4. Step 4: Simplify right side
    105,734x = 51,970,776,841
  5. Step 5: Solve for x
    x = 51,970,776,841/105,734
  6. Step 6: Final answer
    x = 491,523.79

Related Problems

Find third proportional to 52,867 and 113,985.50
Half scale
Find third proportional to 211,468 and 455,942
Double scale
Find third proportional to 105,736 and 227,975
Similar ratio
Find third proportional to 158,601 and 341,956.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.