Home / 75,768-111,696

Finding the Third Proportional to 75,768 and 111,696

Calculator

Solution

The third proportional to 75,768 and 111,696 is: 164,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 111,696 = 111,696 : x
  2. Step 2: Convert to fraction form
    75,768/111,696 = 111,696/x
  3. Step 3: Cross multiply
    75,768x = 111,696 × 111,696
  4. Step 4: Simplify right side
    75,768x = 12,475,996,416
  5. Step 5: Solve for x
    x = 12,475,996,416/75,768
  6. Step 6: Final answer
    x = 164,660.50

Related Problems

Find third proportional to 37,884 and 55,848
Half scale
Find third proportional to 151,536 and 223,392
Double scale
Find third proportional to 75,770 and 111,699
Similar ratio
Find third proportional to 113,652 and 167,544
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.