Home / 106,474-165,552

Finding the Third Proportional to 106,474 and 165,552

Calculator

Solution

The third proportional to 106,474 and 165,552 is: 257,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,474 : 165,552 = 165,552 : x
  2. Step 2: Convert to fraction form
    106,474/165,552 = 165,552/x
  3. Step 3: Cross multiply
    106,474x = 165,552 × 165,552
  4. Step 4: Simplify right side
    106,474x = 27,407,464,704
  5. Step 5: Solve for x
    x = 27,407,464,704/106,474
  6. Step 6: Final answer
    x = 257,409.93

Related Problems

Find third proportional to 53,237 and 82,776
Half scale
Find third proportional to 212,948 and 331,104
Double scale
Find third proportional to 106,476 and 165,555
Similar ratio
Find third proportional to 159,711 and 248,328
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.