Home / 69,730-106,689

Finding the Third Proportional to 69,730 and 106,689

Calculator

Solution

The third proportional to 69,730 and 106,689 is: 163,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,730 : 106,689 = 106,689 : x
  2. Step 2: Convert to fraction form
    69,730/106,689 = 106,689/x
  3. Step 3: Cross multiply
    69,730x = 106,689 × 106,689
  4. Step 4: Simplify right side
    69,730x = 11,382,542,721
  5. Step 5: Solve for x
    x = 11,382,542,721/69,730
  6. Step 6: Final answer
    x = 163,237.38

Related Problems

Find third proportional to 34,865 and 53,344.50
Half scale
Find third proportional to 139,460 and 213,378
Double scale
Find third proportional to 69,732 and 106,692
Similar ratio
Find third proportional to 104,595 and 160,033.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.