Home / 67,830-164,102

Finding the Third Proportional to 67,830 and 164,102

Calculator

Solution

The third proportional to 67,830 and 164,102 is: 397,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830 : 164,102 = 164,102 : x
  2. Step 2: Convert to fraction form
    67,830/164,102 = 164,102/x
  3. Step 3: Cross multiply
    67,830x = 164,102 × 164,102
  4. Step 4: Simplify right side
    67,830x = 26,929,466,404
  5. Step 5: Solve for x
    x = 26,929,466,404/67,830
  6. Step 6: Final answer
    x = 397,014.10

Related Problems

Find third proportional to 33,915 and 82,051
Half scale
Find third proportional to 135,660 and 328,204
Double scale
Find third proportional to 67,832 and 164,107
Similar ratio
Find third proportional to 101,745 and 246,153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.