Home / 107,822-233,971

Finding the Third Proportional to 107,822 and 233,971

Calculator

Solution

The third proportional to 107,822 and 233,971 is: 507,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,822 : 233,971 = 233,971 : x
  2. Step 2: Convert to fraction form
    107,822/233,971 = 233,971/x
  3. Step 3: Cross multiply
    107,822x = 233,971 × 233,971
  4. Step 4: Simplify right side
    107,822x = 54,742,428,841
  5. Step 5: Solve for x
    x = 54,742,428,841/107,822
  6. Step 6: Final answer
    x = 507,711.12

Related Problems

Find third proportional to 53,911 and 116,985.50
Half scale
Find third proportional to 215,644 and 467,942
Double scale
Find third proportional to 107,824 and 233,975
Similar ratio
Find third proportional to 161,733 and 350,956.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.