Home / 102,122-165,791

Finding the Third Proportional to 102,122 and 165,791

Calculator

Solution

The third proportional to 102,122 and 165,791 is: 269,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122 : 165,791 = 165,791 : x
  2. Step 2: Convert to fraction form
    102,122/165,791 = 165,791/x
  3. Step 3: Cross multiply
    102,122x = 165,791 × 165,791
  4. Step 4: Simplify right side
    102,122x = 27,486,655,681
  5. Step 5: Solve for x
    x = 27,486,655,681/102,122
  6. Step 6: Final answer
    x = 269,155.09

Related Problems

Find third proportional to 51,061 and 82,895.50
Half scale
Find third proportional to 204,244 and 331,582
Double scale
Find third proportional to 102,124 and 165,794
Similar ratio
Find third proportional to 153,183 and 248,686.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.