Home / 106,914-232,041

Finding the Third Proportional to 106,914 and 232,041

Calculator

Solution

The third proportional to 106,914 and 232,041 is: 503,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,914 : 232,041 = 232,041 : x
  2. Step 2: Convert to fraction form
    106,914/232,041 = 232,041/x
  3. Step 3: Cross multiply
    106,914x = 232,041 × 232,041
  4. Step 4: Simplify right side
    106,914x = 53,843,025,681
  5. Step 5: Solve for x
    x = 53,843,025,681/106,914
  6. Step 6: Final answer
    x = 503,610.62

Related Problems

Find third proportional to 53,457 and 116,020.50
Half scale
Find third proportional to 213,828 and 464,082
Double scale
Find third proportional to 106,916 and 232,045
Similar ratio
Find third proportional to 160,371 and 348,061.50
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.