Home / 78,048-120,780

Finding the Third Proportional to 78,048 and 120,780

Calculator

Solution

The third proportional to 78,048 and 120,780 is: 186,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 120,780 = 120,780 : x
  2. Step 2: Convert to fraction form
    78,048/120,780 = 120,780/x
  3. Step 3: Cross multiply
    78,048x = 120,780 × 120,780
  4. Step 4: Simplify right side
    78,048x = 14,587,808,400
  5. Step 5: Solve for x
    x = 14,587,808,400/78,048
  6. Step 6: Final answer
    x = 186,908.16

Related Problems

Find third proportional to 39,024 and 60,390
Half scale
Find third proportional to 156,096 and 241,560
Double scale
Find third proportional to 78,050 and 120,783
Similar ratio
Find third proportional to 117,072 and 181,170
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.