Home / 107,823-233,973

Finding the Third Proportional to 107,823 and 233,973

Calculator

Solution

The third proportional to 107,823 and 233,973 is: 507,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823 : 233,973 = 233,973 : x
  2. Step 2: Convert to fraction form
    107,823/233,973 = 233,973/x
  3. Step 3: Cross multiply
    107,823x = 233,973 × 233,973
  4. Step 4: Simplify right side
    107,823x = 54,743,364,729
  5. Step 5: Solve for x
    x = 54,743,364,729/107,823
  6. Step 6: Final answer
    x = 507,715.10

Related Problems

Find third proportional to 53,911.50 and 116,986.50
Half scale
Find third proportional to 215,646 and 467,946
Double scale
Find third proportional to 107,825 and 233,977
Similar ratio
Find third proportional to 161,734.50 and 350,959.50
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.