Home / 103,412-165,916

Finding the Third Proportional to 103,412 and 165,916

Calculator

Solution

The third proportional to 103,412 and 165,916 is: 266,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412 : 165,916 = 165,916 : x
  2. Step 2: Convert to fraction form
    103,412/165,916 = 165,916/x
  3. Step 3: Cross multiply
    103,412x = 165,916 × 165,916
  4. Step 4: Simplify right side
    103,412x = 27,528,119,056
  5. Step 5: Solve for x
    x = 27,528,119,056/103,412
  6. Step 6: Final answer
    x = 266,198.50

Related Problems

Find third proportional to 51,706 and 82,958
Half scale
Find third proportional to 206,824 and 331,832
Double scale
Find third proportional to 103,414 and 165,919
Similar ratio
Find third proportional to 155,118 and 248,874
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.