Home / 70,416-106,920

Finding the Third Proportional to 70,416 and 106,920

Calculator

Solution

The third proportional to 70,416 and 106,920 is: 162,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 106,920 = 106,920 : x
  2. Step 2: Convert to fraction form
    70,416/106,920 = 106,920/x
  3. Step 3: Cross multiply
    70,416x = 106,920 × 106,920
  4. Step 4: Simplify right side
    70,416x = 11,431,886,400
  5. Step 5: Solve for x
    x = 11,431,886,400/70,416
  6. Step 6: Final answer
    x = 162,347.85

Related Problems

Find third proportional to 35,208 and 53,460
Half scale
Find third proportional to 140,832 and 213,840
Double scale
Find third proportional to 70,418 and 106,923
Similar ratio
Find third proportional to 105,624 and 160,380
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.