Home / 105,234-157,971

Finding the Third Proportional to 105,234 and 157,971

Calculator

Solution

The third proportional to 105,234 and 157,971 is: 237,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234 : 157,971 = 157,971 : x
  2. Step 2: Convert to fraction form
    105,234/157,971 = 157,971/x
  3. Step 3: Cross multiply
    105,234x = 157,971 × 157,971
  4. Step 4: Simplify right side
    105,234x = 24,954,836,841
  5. Step 5: Solve for x
    x = 24,954,836,841/105,234
  6. Step 6: Final answer
    x = 237,136.64

Related Problems

Find third proportional to 52,617 and 78,985.50
Half scale
Find third proportional to 210,468 and 315,942
Double scale
Find third proportional to 105,236 and 157,974
Similar ratio
Find third proportional to 157,851 and 236,956.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.