Home / 75,606-164,820

Finding the Third Proportional to 75,606 and 164,820

Calculator

Solution

The third proportional to 75,606 and 164,820 is: 359,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,606 : 164,820 = 164,820 : x
  2. Step 2: Convert to fraction form
    75,606/164,820 = 164,820/x
  3. Step 3: Cross multiply
    75,606x = 164,820 × 164,820
  4. Step 4: Simplify right side
    75,606x = 27,165,632,400
  5. Step 5: Solve for x
    x = 27,165,632,400/75,606
  6. Step 6: Final answer
    x = 359,305.25

Related Problems

Find third proportional to 37,803 and 82,410
Half scale
Find third proportional to 151,212 and 329,640
Double scale
Find third proportional to 75,608 and 164,824
Similar ratio
Find third proportional to 113,409 and 247,230
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.