Home / 106,995-165,584

Finding the Third Proportional to 106,995 and 165,584

Calculator

Solution

The third proportional to 106,995 and 165,584 is: 256,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,995 : 165,584 = 165,584 : x
  2. Step 2: Convert to fraction form
    106,995/165,584 = 165,584/x
  3. Step 3: Cross multiply
    106,995x = 165,584 × 165,584
  4. Step 4: Simplify right side
    106,995x = 27,418,061,056
  5. Step 5: Solve for x
    x = 27,418,061,056/106,995
  6. Step 6: Final answer
    x = 256,255.54

Related Problems

Find third proportional to 53,497.50 and 82,792
Half scale
Find third proportional to 213,990 and 331,168
Double scale
Find third proportional to 106,997 and 165,587
Similar ratio
Find third proportional to 160,492.50 and 248,376
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.