Home / 78,512-120,576

Finding the Third Proportional to 78,512 and 120,576

Calculator

Solution

The third proportional to 78,512 and 120,576 is: 185,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,512 : 120,576 = 120,576 : x
  2. Step 2: Convert to fraction form
    78,512/120,576 = 120,576/x
  3. Step 3: Cross multiply
    78,512x = 120,576 × 120,576
  4. Step 4: Simplify right side
    78,512x = 14,538,571,776
  5. Step 5: Solve for x
    x = 14,538,571,776/78,512
  6. Step 6: Final answer
    x = 185,176.43

Related Problems

Find third proportional to 39,256 and 60,288
Half scale
Find third proportional to 157,024 and 241,152
Double scale
Find third proportional to 78,514 and 120,579
Similar ratio
Find third proportional to 117,768 and 180,864
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.