Home / 109,658-165,296

Finding the Third Proportional to 109,658 and 165,296

Calculator

Solution

The third proportional to 109,658 and 165,296 is: 249,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658 : 165,296 = 165,296 : x
  2. Step 2: Convert to fraction form
    109,658/165,296 = 165,296/x
  3. Step 3: Cross multiply
    109,658x = 165,296 × 165,296
  4. Step 4: Simplify right side
    109,658x = 27,322,767,616
  5. Step 5: Solve for x
    x = 27,322,767,616/109,658
  6. Step 6: Final answer
    x = 249,163.47

Related Problems

Find third proportional to 54,829 and 82,648
Half scale
Find third proportional to 219,316 and 330,592
Double scale
Find third proportional to 109,660 and 165,299
Similar ratio
Find third proportional to 164,487 and 247,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.