Home / 77,934-113,984

Finding the Third Proportional to 77,934 and 113,984

Calculator

Solution

The third proportional to 77,934 and 113,984 is: 166,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,934 : 113,984 = 113,984 : x
  2. Step 2: Convert to fraction form
    77,934/113,984 = 113,984/x
  3. Step 3: Cross multiply
    77,934x = 113,984 × 113,984
  4. Step 4: Simplify right side
    77,934x = 12,992,352,256
  5. Step 5: Solve for x
    x = 12,992,352,256/77,934
  6. Step 6: Final answer
    x = 166,709.68

Related Problems

Find third proportional to 38,967 and 56,992
Half scale
Find third proportional to 155,868 and 227,968
Double scale
Find third proportional to 77,936 and 113,987
Similar ratio
Find third proportional to 116,901 and 170,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.