Home / 66,965-103,689

Finding the Third Proportional to 66,965 and 103,689

Calculator

Solution

The third proportional to 66,965 and 103,689 is: 160,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965 : 103,689 = 103,689 : x
  2. Step 2: Convert to fraction form
    66,965/103,689 = 103,689/x
  3. Step 3: Cross multiply
    66,965x = 103,689 × 103,689
  4. Step 4: Simplify right side
    66,965x = 10,751,408,721
  5. Step 5: Solve for x
    x = 10,751,408,721/66,965
  6. Step 6: Final answer
    x = 160,552.66

Related Problems

Find third proportional to 33,482.50 and 51,844.50
Half scale
Find third proportional to 133,930 and 207,378
Double scale
Find third proportional to 66,967 and 103,692
Similar ratio
Find third proportional to 100,447.50 and 155,533.50
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.