Home / 106,108-165,620

Finding the Third Proportional to 106,108 and 165,620

Calculator

Solution

The third proportional to 106,108 and 165,620 is: 258,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,108 : 165,620 = 165,620 : x
  2. Step 2: Convert to fraction form
    106,108/165,620 = 165,620/x
  3. Step 3: Cross multiply
    106,108x = 165,620 × 165,620
  4. Step 4: Simplify right side
    106,108x = 27,429,984,400
  5. Step 5: Solve for x
    x = 27,429,984,400/106,108
  6. Step 6: Final answer
    x = 258,510.05

Related Problems

Find third proportional to 53,054 and 82,810
Half scale
Find third proportional to 212,216 and 331,240
Double scale
Find third proportional to 106,110 and 165,623
Similar ratio
Find third proportional to 159,162 and 248,430
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.